[gjm11]

William Shakespeare:

"the scrimers of their nation, / He swore, had had neither motion, guard, nor eye, / If you opposed them."

King James Bible:

"For I am persuaded, that neither death, nor life, nor angels, nor principalities, nor powers, nor things present, nor things to come, nor height, nor depth, nor any other creature, shall be able to separate us from the love of God, which is in Christ Jesus our Lord."

Rudyard Kipling:

"But there is neither East nor West, Border, nor Breed, nor Birth, / When two strong men stand face to face, tho’ they come from the ends of the earth!"

Charles Dickens:

"I had youth and hope. I believe, beauty. It matters very little now. Neither of the three served or saved me."

Jane Austen:

"Mary's ailments lessened by having a constant companion, and their daily intercourse with the other family, since there was neither superior affection, confidence, nor employment in the cottage, to be interrupted by it, was rather an advantage."

Thomas Hardy:

"Half an hour passed yet again; neither man, woman, nor child returned."

Samuel Johnson:

"Among these, Mr. Savage was admitted to play the part of Sir Thomas Overbury, by which he gained no great reputation, the theatre being a province for which nature seems not to have designed him; for neither his voice, look, nor gesture were such as were expected on the stage"

The authors above are not cherry-picked, except that I happened to remember the Kipling and St Paul quotations. Not one of the notable English writers I looked up failed to provide me with at least one example of "neither" applying to more than two things.

[ggm]

My proofreading partner disliked it also, but your proof by authority is strangely compelling.

[gjm11]

I thought I'd look up a few more. Once again, every single person I tried yielded positive examples; no cherry-picking here at all. (The ones that took most tries were Macaulay and Chesterton.) One caveat: I only bothered with people for whom I expected there to be a reasonable amount available online for searching; if "neither" has recently become acceptable only when there are exactly two things, that wouldn't show up in what I found. (But I don't think it has.)

John Milton:

"Into this wilde Abyss, / The Womb of nature and perhaps her Grave, / Of neither Sea, nor Shore, nor Air, nor Fire, / But all these in thir pregnant causes mixt / Confus’dly, ..."

Daniel Defoe:

"And now I thought myself pretty well freighted, and began to think how I should get to shore with them, having neither sail, oar, or rudder, and the least capful of wind would have overset all my navigation."

William Wordsworth:

"Neither vice nor guilt, / Debasement undergone by body or mind, / Nor all the misery forced upon my sight, / Misery not lightly passed, but sometimes scanned / Most feelingly, could overthrow my trust / In what we may become"

Thomas Macaulay:

"Neither blindness, nor gout, nor age, nor penury, nor domestic afflictions, nor political disappointments, nor abuse, nor proscription, nor neglect, had power to disturb his sedate and majestic patience."

Jonathan Swift:

"I find likewise that your printer has been so careless as to confound the times, and mistake the dates, of my several voyages and returns; neither assigning the true year, nor the true month, nor day of the month"

George Bernard Shaw:

"But there are men who can neither read, write, nor cipher, to whom the answer to such sums as I can do is instantly obvious without any conscious calculation at all; and the result is infallible."

G K Chesterton:

"He takes us into the schools of inhumanist learning, where there are neither books nor flowers, nor wine nor wisdom, but only deformities in glass bottles, and where the rule is taught from the exceptions."

Since the above are all notable English (or in two cases Irish) writers, here are a few notable Americans.

Herman Melville:

"But neither great Washington, nor Napoleon, nor Nelson, will answer a single hail from below, however madly invoked to befriend by their counsels the distracted decks upon which they gaze"

H L Mencken:

"I am thus neither teacher, nor prophet, nor reformer, but merely inquirer."

Mark Twain:

"It is not pleasant to see an American thrusting his nationality forward obtrusively in a foreign land, but Oh, it is pitiable to see him making of himself a thing that is neither male nor female, neither fish, flesh, nor fowl--a poor, miserable, hermaphrodite Frenchman!"

[ggm]

Do you notice the importance of "nor" in this?

[gjm11]

Hmm, yes.

I didn't actually check exactly what OP had said. I find that OP now doesn't use the word "neither" at all, but I guess the sentence that now says "none of the presented options are without problems" used to say "neither". Which I agree looks very strange. (The corrected text is arguably still wrong: "none" = "not one", and you would say "not one of them is ...", not "not one of them are ...". But almost everyone, almost all the time, uses "are" rather than "is" with "none", so I'm reluctant to call it wrong; correctness in language is determined by how actual language-users actually speak and write.)

So, my apologies: I made what I now think was probably a wrong guess at what the article had done that you didn't like, and my examples aren't really to the point.

I had a look in the OED. With the neither/nor/nor/... construction, it regards any number of branches as normal (as one would hope given the examples above). In "neither of them" and similar usages, its main definition says specifically "of two". It does explicitly countenance using it with more options, but describes this as "Now rare".

So I still wouldn't go so far as to say that what OP originally wrote is outright wrong, but I do agree that it was odd and changing it was probably a good move.

[ggm]

Well, yes, but .. I think I neglected to consider how you do construct neither a nor b nor c (... ) lists. So I was over absolutist in my thinking. You made a good point. You made me think.

Neither sleet, nor snow, nor gloom of night..