When editing an existing Edition and the name is modified, a checkbox should be added to allow changing the Edition Group name at the same time.
This requires a UI change to add the checkbox  depending on entity type (in the src/client/entity-editor/name-section/name-section.js component), and a server-side change to add the mechanism to update the EditionGroup name in the same transaction (in
src/server/routes/entity/entity.tsx the method "handleCreateOrEditEntity")
.

https://community.metabrainz.org/t/correcting-edition-titles-leads-to-wrongly-titled-edition-groups/579737

"It often happens that you have to fix a title of an edition. Sometimes it’s just a typo, sometimes you have to add, change or remove a sub title.
If you don’t think of fixing the edition group manually, too (and that happens quite often), the title of the edition group will be wrong, or at least different from the edition title.
I think we need a warning when you submit an edition after changing the title. Something like: “You changed the title of the edition, do you also want to change the title of the edition group?”
"

See attached screenshot for how MusicBrainz does it (checkbox under Edition Group select)