This is an unfortunate misunderstanding on the part of the miners, and the math is really simple: imagine a network on top of Bitcoin, e.g. lightning.network, which can process 10 million transactions off-chain and settle it on the Bitcoin blockchain using only a single transaction. Imagine if every one of those 10 million off-chain transactions paid just 0.01 cent in fees... this would earn the payment processor $1000, which can only be realized by publishing a Bitcoin transaction, in competition with everyone else making a lot on off-chain fees. The result is that off-chain profits (in the form of fees) would allow off-chain payment processors to pay huge blockchain fees, because they can deduce it from the profit they've made on off-chain fees. Nothing, in my opinion, will increase Bitcoin fees more than layer 2 protocols creating more users and transactions (because fees are paid per off-chain transaction).
The point some miners are missing is that one billion off-chain transactions each paying a 0.01 cent fee is more profitable than 2,000 on-chain transactions paying $1 each. And if everyone is able to earn $100,000 in fees by publishing a single Bitcoin transaction, this must push up Bitcoin fees, since people will be competing on getting into the chain with the bidding power from their earned profits.