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Controversial inkling and octoling position
I don't think they have scars on their tentacles. I get the artistic appeal and it looks cool (and is cannon if you look close at Captain 3s tentacles there are faint scars)
But...their tentacles are hair remember? It's their hair, it grows, they cut it. Any trauma afflicted to the original hair tentacles wouldn't be on their new ones.
Like if you cut a chunk of your hair that chunk wouldn't be there forever, it wouldn't grow that way. Their hair can get long, look at the hair styles ranging from long to short.
Thats it :^