That could be a branding strategy, I guess, but the community project behind it will still need a name of some kind obviously. Unless they only want to show up at conferences/have a website url etc as "the project whose name shall not be mentioned".
And you really think, people who are willing and able to buy enterprise support for their Linux distro get confused by the naming?
No, I don't think that. I know that because I'm active in the community.
OpenSuse is essentially free marketing for SUSE, nobody would know them otherwise.
That is absolute nonsense. SUSE mostly serves large enterprise customers. That's an entirely different demographic from people who care about Desktop Linux or setting up a home server.
Edit:
its market share is relatively small compared to Red Hat or Canonical.
I'm pretty sure SUSE is bigger than Canonical.
Editedit: According to wikipedia SUSE's revenue is about twice as high as Canonical's
No, there are good reasons for it. A lot of people get confused between SUSE and openSUSE offerings. Often SUSE customers show up in openSUSE places, because they believe that it's a place they can get official support. And I'm sure a lot of potential customers might get confused in the same way too.
On the flip side there are also a lot of openSUSE (adjacent) users who think SUSE is (secretly or not) making openSUSE development decisions or think they can dand SUSE to do that and that.
So there are some good reasons to consider a rebranding, but also some speaking against it, like the less of recognition it might entail.
Mobian developed for PostmarketOS? I feel like you are mixing something up here, as those are both distros. Maybe you mean Phosh?