One of the oft repeated ideas is that you got points for closing questions.

You don't. The only ways to get rep on stack overflow is described at https://stackoverflow.com/help/whats-reputation

    You gain reputation when:
    
    question is voted up: +10
    answer is voted up: +10
    article is voted up: +10
    answer is marked “accepted”: +15 (+2 to acceptor)
    suggested edit is accepted: +2 (up to +1000 total per user)
    bounty awarded to your answer: + full bounty amount
    one of your answers is awarded a bounty automatically: + half of the bounty amount (see more details about how bounties work)
    site association bonus: +100 on each site (awarded a maximum of one time per site)