What I have found is if a majority of the network filters certain transactions, miners mining those transactions take on orphaning risk (due to worse compact relay) which can lead to them losing revenue.

This also makes it more expensive and involved to store data as Mara charges 2x the standard mempool fee, and methods like public keys cost more than inscriptions.

This does not stop data storage, but it does make it harder and more costly, eventually leaving them with nothing to do.