I don't know about that. In my experience, Bitcoin fees suck nuts. You have to switch to a shitcoin like Lightning to bring the fees down.
Compare that to Monero which is actively subsidizing transactions with newly mined Monero forever. After all, inflation is a tax on everyone who holds a currency and doesn't spend it.
I don't know the numbers though, for all I know Monero transaction costs could result in an extra cost for private transactions.