To you(thetzarofpoker) it is definitely Gambling because you need Luck to get good result.
As for me, it is exactly the same reason i had to convince my ex-wife(when we were still together back then) and my parents when i decided to go full-time and transit into pro.
I sat down with my parents and ex-wife with a deck of card and asked them to play 4 hours with me. Whatever amount they manage to win, i'll cash out to them but if i won, they don't have to pay me. As handicap, i will look into my hold card ONLY on the Turn which means i was playing blind until the Turn card was dealt.
During this session my father busted once, mum 4 times and ex-wife got frustrated(tilted) and stop in the middle of the session.
I demonstrated to them that i am capable of wining despite they are 3 vs me, against the odds of handicapping them and my ability to maximize to win most chips with a good hand. Of course, main reason i won is because i read all their tells which is something they never understand.
Their mentality is "Poker is gambling and it's all about Luck and more bankroll in order to win".
After this session, my parents has been supportive with me playing fulltime.
My ex-wife...she left.
At least for me, Poker is not Gambling, it's a job or Profession which i enjoy doing.
And no, Poker is not a Sport, it's more like a Chess game or Backgammon.