360 block, how thin ?
If the thin spots are on the pin axis and it needs one or two sleeves I'd sleeve those two and use it. I know guys that use as thin as .080 on the pin axis and I also know a few that don't even test those directions. I have several with one or more holes sleeved because the major thrust were way shifted and the resulting wall would be less than .150". Sleeving costs me $120 a hole and a good sonic test is $175 whether or not the block is good to use. So it's simple economics for me. If you're looking for a minimum major thrust bigger than .200 on every hole you'll probably be looking and testing a lot of blocks.