It's interesting that the monero devs found a way to limit and essentially kill off ordinal inscriptions very quickly without a centralized entity choosing which transactions are allowed:

GitHub

Add a size limit for tx_extra in tx pool by tevador · Pull Request #8733 · monero-project/monero

Related to #6668 This patch limits the maximum size of tx_extra that's allowed in the transaction pool. Mined transactions bypass this check, w...

I wonder if there is a similar possible approach for bitcoin core.