YES. ;)
Yes, it's worth it.
Moreover, it's even desirable to make saves at the beginning of each day.
Yes, by the way, there must be saves at the beginning of each week.
I will add this point to the rules now.
Sincerely.
What is meant by the map description?
If on the first day of the week there is an increase in creatures that does not affect the map in any way (i.e., there are no similar castles, or neutral creatures of level 5-7 increase, which, as you know, do not appear on the map), should you still aim for a neutral result?
Sincerely, Draco