N3rdTek apps will fail to install if they’re installed on another profile.
That is not the case if it is the same or newer version of the app, rather than an older one and the app has the same signature certificate.
Apps from different sources, like Play Store, Github and F-Droid can have different signing certificates. But not always.
F-Droid has had the bad habit of leaving an older version of their app as the main download so if you try and install that after installing it in another profile it will fail.