Group name or logo cannot be modified after creation
When group name is edited, the update is not applied on the Group sharepoint site where the name is still set to the original one. This also happens with the logo.
Changes on the Group (title, logo,...) should be correctly applied to the Group sharepoint site.
russell meyer commented
In certain environments the need for consistency of naming needs to be there, Azure AAD Premium is a good first step however there needs to be the ability to prevent renaming
Microsoft documentation states that this should be possible to do within the group site:
However, the option isn't actually enabled/visible.