Hi Christophe,
I'm trying to follow the details of your question, but a bit confused by the details. This answer may not be complete, but please feel free to follow up with details I might have missed.
Both Springdoc and Springfox are third party libraries with which we cannot directly help. We simply don't have the technical knowledge of them to provide such support. If you encounter any issues dealing with them directly, you should file tickets in their github repositories.
Swagger UI is indeed our tool. We don't provide a direct way of integrating it with Java projects, but at the end of the day, it's just a static set of files that need to be hosted with your app. To clarify, HTML is not being generated as a static file, but rather Swagger UI is a JavaScript based application that reads your API definition (Swagger 2.0 or OpenAPI 3.0) and renders it. Springfox does provide a webjar of Swagger UI and you'll need to check their docs on how to include it. If you want to use Swagger UI directly, you can find instructions here.
