If we are being even more pedantically correct about this:
1. The statement about months is kinda wrong.
Solar months just happen because of the earths orbit around the sun, too, and the division by 12 is how many knuckles you can count on one hand by using your thumb.
Moon months exist, and there are 13 of them, from January to Undecember [Footnote: 1], or whatever you want to call them. But by happenstance if we talk about having a moon-month, we will probably be in a culture that uses a calendar that does not have a two-day weekend.
2. Seasons could be argued to be more complex than just sun-based on fixed yearly cycle. Whether four seasons for everyday life exist seems to depend on latitude, and is a bit counter-intuitive at the equator:
Based on solstices you would expect warm/cold/warm/cold, so twice as many seasons, per year, not half that many. Yet Quito or other cities seem to have rain dependent on yearly circulation effects, but constant temperatures. El Niño/La Niña would probably have at least as much of an effect and are of course not on strictest schedules in such areas, and perhaps make more sense for crop or disaster planning than solar years might.
But Southern Hemisphere does not use a reverse "Christmas is in summer" calendar[2]
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Footnotes:
1: 11th month by name, but some Pope's birthdays reforms happened until we ended up with February at 28 days and no spring's start is the new year, etc.
2: Even if that was Christmas before the popes changed it and/or Christians like to feast when heathens brethren/converts did, simultaneously. And historically more plausible for a time of travel to do a census.