Yes, as long as it was in the best interest of the Fedora project. A recent example IMHO is the change of default filesystem to btrfs. From Red Hat's perspective a default like XFS or stratis would be better as it would provide more testing/adoption for their recommended RHEL uses. Another might be the creation of a Fedora Server variant which isn't really in the interest of Red Hat.
If there were something good for Fedora that would really hurt Red Hat, I wouldn't expect it to happen, but I can't think of anything that wouldn't also be bad for Fedora. Maybe a Fedora LTS version, but there are other already extant options to address that market so I don't see a need there. I would like to see a Fedora LTS kernel version though that behaved more like Ubuntu's.
By that, you mean another server variant than the one day, right? https://getfedora.org/en/server/download/
Red Hat doesn't generally invest in any Fedora deliverable except Fedora CoreOS and Fedora Workstation these days. All Fedora deliverables are community driven and community controlled.
Those seem to me to be the bulk of the work going into Fedora, is that incorrect?
But Fedora Cloud is an Edition again in Fedora 37, and Fedora KDE continues to tick along quite nicely.
I think they've learned to try to keep it subtle, but they wield a lot of power in the open source world, not just via their distributions and direct contributions.
It's uncanny.
No, legally it's all Red Hat et al
Fedora Project isn't an association in the same way Debian is, it is in house project of Red Hat. Look at what happened to CentOS, in the same vein they can steer it however they like.