Yes Ive had doctors glue my cuts thats where I learned how to do it and no the cuts are not more promenent with the glue for me they were less promenent. Thats why I prefer the glue over stitches.
. Cuts done with a china ashtray are going to be naturally more promenet than a razor or knife because the cuttling edge of object used is more promenent. A razor or knife blade is thin whereas broken china or glass objects the cutting is centimeters to inches thinker.