the last part is not true. after a certain hashrate, pools will be finding blocks far more frequently than miners can reach payout thresholds and the pools hashrate being larger doesnt provide any benefit.

p2pool is way past that point, with its other benefits I still see no reason to use a centralized pool when tools like gupax are easier than configuring xmrig yourself.

the reason so many miners use centralized pools is because of poor education and people not wanting to update their stuff. when you search "how to mine monero" you get outdated guides for centralized pools that often dont exist anymore.