Have you tested with a known good PSU?
We all have a different standards when it comes to acceptable levels for use. I personally don't bother with faulty hardware I have to tinker with. This leads to a room full of "junk". I've got one of these too
If the power button on my board was broken, but a case switch connected to the header still worked, I might continue to use the board, but not as a primary system. Under no circumstance would I use a PSU that had been modified, grounded, shorted or jumped to operate. My other system components are too valuable for this.
So you need to decide if keeping the system is practical and does what you need it to. Then again, failures like these might be the MB telling you "its time". Cost of troubleshooting and repair, including your own time is generally not worth trying to fix or figure out the "why"? Up to you though.