I can tell you from long experience that a good bond with yellow glue and grocery bag paper isn't going to break loose on your lathe... I use a chisel and mallet to separate the suckers..
Something that's worked well for me is to make my turning block longer than most are.. by a few inches... that lets me turn the glued portion of the block along with the bowl and maintain a good shape.form without worrying about hitting the screws... also, using a steady rest or the tailstock with a friction chuck, you can turn almost all of the bowl bottom round before you have to part off...
I used to make "multi-stage" glue blocks... a 3/4" plywood round with countersunk holes so I could bolt it on with the nuts behind the faceplate, and the "actual" glue block, which was glued between the plywood and the bowl bottom... the block would be used up on each bowl but the plywood was (and still is) reusable.. Mac