There are solutions to this, but they're not nice/universal.
Some toys allow you to rename them but that makes doing name filters in WebBluetooth difficult.
I'm also building in BTAddr white/blacklisting. :(
That is, assuming you know the address of your device in the first place, which is almost never printed on the device itself.
So web browser gonna find ALL the buttplugs whether you like it or not.
If you're interested in helping out my work, check out my patreon.
patreon.com/qdot