I'd like to add a note to this topic to mention I'm having the same issue, but I looked into it and it looks like OBS actually isn't saving these settings to profile. I have a profile set for my capture card to bandage any delay issues I have with it. I've looked at the scene INI files in my APPDATA and while I can see the individual profiles listed, neither file seems to have an entry for anything related to scene buffering time and global audio offset. It looks like [General] SceneBufferingTime and [Audio] GlobalAudioTimeAdjust are only being saved to global.ini and even adding these manually to the profile does nothing as they aren't saved with the profile.
I can add a log if you'd like, but this isn't an issue with capture so I'm not sure if it's needed.
