If you install the same app, or an update of the same app, you shouldn't have any problems installing the apps. F-Droid is a different story. According to GrapheneOS's lead dev, the way F-Droid updates itself and the fact the apk on their site isn't the right version make it hard to install F-Droid on different profiles.
To get around this, you could log in to owner, go to Apps > F-Droid > 3 dots in upper right-hand corner > uninstall for all users (if I remember the wording correctly). Then install F-Droid in the owner profile, then push F-Droid to other profiles. Then, as long as you install the apps from the same app store, you won't run into problems installing the same app in different profiles.