Do you not use a fork as your origin, separate from the production upstream repo? I’ll push to my fork’s main branch for small or urgent changes that will definitely be merged before anything else I’m working on.
If it’s a private repo I don’t worry too much about forking. Ideally branches should be getting cleaned up as they get merged anyway. I don’t see a great advantage in every developer having a fork rather than just having feature/bug branches that PR for merging to main, and honestly it makes it a bit painful to cherry-pick patches from other dev branches.