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I do not find that to be the case investigating the Global Web-Based Corpus, which contains modern, global internet-published English: https://i.imgur.com/EG4zaoU.png [sadly the corpus cannot be easily linked, but one may search in it here: https://www.english-corpora.org/glowbe/] The way I look at it, the usage therein of the word “man” to specifically discriminate sex is very rare but definitely occurs. What does occur is the use of the word “man” to refer to a specific individual, which would typically be male, but in most cases where the word “man” is used indeterminately to refer to a class, it seems to be used without regard to sex. Apart from that the most common usage seems to simply be vocatively as address, which is also gender neutral. I would agree that it is rare, outside of compounds, to use the word “man” in a determinate sense for a female man, such as “that man over there” which would mostly be used in a military context, but in an indeterminate context to speak of “a man in general” or “men in general”, the most common usage from context seems to be sexless to this day. |
There are also clear cases where "a man" is used to refer to "a human", such as "wheat growing taller than a man".
Rather more interestingly, if you instead search for "men", you'll see that is used essentially exclusively to mean "adult males". The only exceptions I found was "and because the greed of a few men is such that they think it is necessary that they own everything" and even there I'm not sure.