I think the better question than “Does the experience system sound like it has potential,” then, is “Does the overall concept / system have potential?”
My gut is probably, but it depends a lot more on what you’re willing to put into it and what you want out of it. What’s your metric for success? If it’s something you want to run yourself and to share online to have a few groups use it, then that’s a lot more achievable than being able to get a publishing deal, for example. And in-between, publishing on drivethrurpg or something similar, at a nominal cost (like $2-$5), would take more effort than the former and less than the latter; and the higher the cost and the higher the number of players you’d want, the higher the effort you need to put in (and a lot of that isn’t just in system building, but in art, community building, marketing, etc.).
From what you’ve shared, it sounds like an interesting system. I could especially see it working in an academy setting where grinding skills to be able to pass practical exams is one of the players’ goals. I also could see it working well by a loosely GMed play by post system, with the players self-enforcing (or possibly leveraging some tools built into the site to track resource pools, experience, rolling, etc.), though I haven’t played in a forum game myself, so I might be way off-base.
Did your system have classes or was it completely free-form in terms of gaining access to those skill trees?
You can run a NAS with any Linux distro - your limiting factor is having enough drive storage. You might want to consider something that’s great at using virtual machines (e.g., Proxmox) if you don’t like Docker, but I have almost everything I want running in Docker and haven’t needed to spin up a single virtual machine.