Unfortunately uWSGI (one of the most important libraries) is fundamentally incompatible with uv. had to roll back all my apps that use custom uWSGI for that reason.
I am using uwsgi with uv. This is not to say the problems you are facing are not real, but it cannot be a 'fundamental incompatibility' if it is working in my case.
Here is an example of a CLI invocation I am using for quick testing: