A limit with thousands of tps will undoubtedly produce more fees for miners than a limit capping the network at 3 tps.
This is only true if the per transaction fee is not zero.
In absence of a block size limit, there is no incentive to pay fee. Any positive fee would have to be enforced by a cartel of miner.
But the OP is not proposing an absence of a block size limit. This is a straw man argument, and the fact that it's the second time you've made it, means you're being disingenuous.