Welp, sorry but that can't helped.
Sure it can. When I read about fullscreen in rpg maker games, I learned, that devs include some script that puts it on f4. Some even have it in regular options, but there are different versions.
Maybe fullscreen is misleading. It is not switching resolution of the display. It is just borderless windowed fullscreen.
I have 3rd party tool that can toggle the window attribute for displaying the title bar. I really should be doable by windows itself, but they chose not to include this feature. Along with always on top and transparency. Windows can do all this, but you have not buttons to make it happen.
With widescreen displays, vertical pixels got more important. Title bars are a waste of screen space.