I've used both in my not so illustrious woodworking and will take
square over phillips any time. Though I agree with the earlier drywall
comment. Phillips is my exception for that application.

For my projects I've turned a whole lot less squares round than
phillips to cups... :-)

You do want to make sure and get good screws though... If you go cheap,
you get cheap. Nothing like trying to get a futzed up screw back out
again. And you know it will be the last one you're driving in...