The way I understand the inscriptions, they are expensive transactions so they aren't competing for immediate block space, instead the are setting the floor for the fee rate. I'm not sure what is causing the fees to be so high right now but I would be shocked if the inscription transactions were paying fees high enough to get priority in the mempool.
Thankfully, anyone can mine and benefit from high fees. I'm collecting extra mining revenue right now which will help subsidize fees on future payments I make.