I think that Gitea is so easy to install, that any organization (or person) can install its own instance. Can we make it easier for them to install and maintain it? This would be a better help for them then offering them to use the FSFE instance.
Besides, if they cannot trust GitHub, GitLab, etc. for hosting their projects, why they should trust FSFE?
By the way, I have developed some scripts that hopefully make it easier to install and maintain a Gitea instance. Maybe you can have a look and let me know what you think about it: docker-scripts / gitea ยท GitLab