I don't know about the "shining like glass", but I know that steel wool can embed little pieces of it self into the finish and ruin it. I use 1500,1800,2400, 3600, 4000, 6000, 8000, and 12000 micro grit. It works great to a high polish. Just sand until all shine disappears and move on to the next one untill you have an incredible gloss. Use 3M Finesse it for a final finish. I just don't trust steel wool. I think it's fine for furniture not a guitar. Good luck.
here