Oh really?
And I'm sure with your infinite knowledge you can give a ton of examples where mining pools keep the fees, right?
Oh, and please don't quote Wikipedia unless you want to make a fool of yourself as the info out here is last century old!
Actually, let me make this easier for you:
https://support.antpool.com/hc/en-us/articles/5983010227993-Miners-Settings-Fees
https://f2pool.zendesk.com/hc/en-us/articles/360061042332-PPS-PPLNS-PPS-and-FPPS
https://www.binance.com/en/support/faq/how-to-calculate-mining-earnings-360040955392
https://support.viabtc.com/hc/en-us/articles/900001529626-How-are-profits-calculated-
https://help.braiins.com/en/support/solutions/articles/77000426262?_ga=2.1694257.1079338613.1660209602-111809037.1657870635
Please all read first https://en.wikipedia.org/wiki/Greedy_algorithm
You should read it again.
The greedy algorithm doesn't apply here because the miners don't choose a path, so they don't pick up a block with high fees that would be followed by a block with smaller fees while the other path starting with a low fee block would have been followed by a billion blocks of high fees.
It's not a path game, it's a linear choice.
Again, let's assume age would be a factor, some users could spend $300 with 1sat/b tx and fill a full block, or some attacker might decide to just throw 20 BTC out of the window by sending coins to himself and there you go, for 10 days everyone would have to wait for his turn to end.
Does it seem like a solution you would want that the greedy miners hate?
As for CoreFeeHelper every one of those algorithms works on past data and with the 10 min block time, none is cable of anticipating Binance dumping 40 blocks of tx in a single minute, none is cable of predicting you will not have a block mined for an entire hour, just as how they can't predict you will have 6 blocks mined in under 13 minutes. So, for them is all past data and current time since the last block but it can take only 1 second for your tx that was supposed to be confirmed in the next block to end up 4 blocks away and then everyone will keep increasing their fee, estimators will rise the fee and your tx will get buried more and more and furthermore by the same estimators that told you an xx/sat/b will be confirmed in 10 minutes.