I'm having a problem with the "emulate active app as open" option. My guess is that it makes app-specific floating menus stay open in BTT? If not, I don't know what that option is meant to do and ignore the rest.
I have Safari selected in the sidebar, where my floating menu is located. I toggle the "emulate active app as open" and the menu appears. But when you navigate away and then return to BTT, the floating menu will not appear. But still will while Safari is focused.
Mac mini 2, macOS 14.0, BTT v4.317