Can another pool attack a FPPS pool by simulating high fees by paying themselves high fee txs? Or does the FPPS pool software algo know that those attacking fees are not to be counted?

My understanding is a FPPS pool uses last 24 hour timeframe of total network fees to calculate their fee payouts, why can't a large pool fake their fees to trick the FPPS pool into overpaying what they are actually expected to receive themselves for block rewards.