Great idea! I was thinking about something similar too. Having multiple browsers doesn't have to suck...and having to fiddle with galternatives or KDE systemsettings isn't ideal.
May I suggest you to add a small (and optional!) config file to automate your UI - like e.g.:
[Sources]
Telegram=chrome profile B
Discord=epiphany
[Destinations]
https://www.google.com=firefox profile A
If the config is there, you'd then only show the UI when neither sources nor destinations match (regexes). This would make it a must have tool IMHO :)