Personally, I would not run LM Studio anywhere outside of my local network as it still doesn't support adding an SSL cert. I guess you can just layer a proxy server on top of it, but if it's meant to be easy to set up, it seems like a quick win that I don't see any reason not to build support for.
https://github.com/lmstudio-ai/lmstudio-bug-tracker/issues/1...