I don’t have any experience here, but everything seems to point towards the docker being just a way to install it for any machine, for ease of management, not a streaming/remote control situation where the software runs on the server, and you just see/interact with the video output. So probably the slowdown is caused by your laptop liking FreeCad even less once it’s running in your web browser.
Obviously I can be way off, but this is what it looks to me.