Success! Here's what worked for my engine compartment paint restoration.

Looks great!

Did you try any of the other suggested methods? Sanding would have been a last resort for me, but I can't argue with your result.
Yes, I mentioned the methods that didn't work for me in the writeup above. 1200 grit is so fine that it really isn't like sanding. Just enough grit to cut the crud and get rid of it.