To directly answer ur question, If fees continue to stay high and/or climb, the forward rate paid to hash lenders (miners connected to the pool) will increase over time. This is because the calc is almost always based off a trailing average. The rewards hash lenders earn will slowly correct over time but do not tend to adjust immediately. If fees fluctuate quickly, actual hash lender income might not adjust in time, but if fees adjust gradually over time, then yes, hash lender rewards will eventually adjust.

So there's two calcs that happen one after the other to determine payouts. Specific pools each calculate their own way but the general concept is pretty much the same across the major pools.

The first calc that pools do is the average daily income that the pool expects to earn. They calc this based off some sort of trailing average of actual earnings. Either the average daily earnings (block reward + fees). Or monthly prorated or trailing hourly... whatever they deem appropriate. That then creates an available "forward pool" of funds.

The second calc is each individual miner's hashrate over x period divided by the total hashrate for that pool over that same period. Each miner gets a pro-rata share of that forward pool of rewards.

The pool itself takes the lent hashrate and is the one to actually mine. Whatever rewards they get is theirs to keep, regardless if it totals more or less than the forward pool they've promised to hash lenders.