no not heard of that being done and trust me ive had lot treatment done
ive had to have my gums ,cut as a tooth broke and it was hard to get out
but that was stitched up
also ive had my gums cut away from teeth as i had loose gums up top of my mouth and they were cut slimmer round my teeth
if that makes sense? so not flabby skin? so the gums met the teeth rather than being swamped ?
cant think what my dentist called this treatment
but i never heard of cutting a mark of what you described just by extracting a tooth