How do people manage their relay list(s)?

I find myself unwillingly replacing my published relay list when trying out new nostr apps. Ex: I normally use Amethyst, but tested YakiHonne and edited its default relay list (added my outbox relay). This caused Amethyst to start using the yakihonne default list.

Should I stop publishing my relay list, or maybe only publish the "greatest common list"? Is there wide support for that?

Lots of Qs, but I'm confused.