Hmm. Well this is going to be a little odd, but Ill explain it best I can. First does it work; yes and no. If I try it a few times I can pull up some windows over starsector, but it doesn't actually minimize it, and like before upon tabbing back to starsector it is once again impossible to access anything behind it. And now for the convoluted part.
It seems like any time I open starsector, I get a different result, which I know is going to make helping me largely impossible. In any case, some times it works just fine and I can minimize it by simply alt tabbing like I would expect to, sometimes it won't minimize at all and it is impossible to view anything behind it like before, and sometimes while it still won't minimize, I can open windows over starsector without actually minimizing it. These effects seem to last as long as starsector is open, but I haven't tested it extensively.
At first I thought it had something to do with what I had open or how I opened it, for example, if I tabbed off whilst starsector was loading, or If I had other programs open in the background, but if there is a correlation I haven't found it. It also seems to alternate back and forth between being able to be minimized and not. Like if I really wanted to, I could keep launching it over and over until it decides to let me minimize and just keep it open from then on. Sorry though, I know this information is likely useless, but I appreciate the help. If there's anything else you want me to try ill gladly do it. I'm also running a ton of mods if that helps.