[_carbyau_]

Oh no, a whole new bunch of time-wimey words I hadn't even considered! :-)

I'm no authority but to me using "the other day" as a phrase is trying to impart a rough reference to a point in time.

Which means we're talking in "day" timeframes where week or month wouldn't be suitable. I would expect "the other day" to be within a week, but accept no more than a month.

Similarly "some months ago" = probably less than 6 months but definitely no more than a year.

The world is a wonderful place and the ways we humans can confuse communication seemingly knows no bounds. But I don't want a proscriptive definition for each little casual phrase as I think this flexibility in language is why it keeps changing and being alive!