I'm not sure it's 100% accurate to say it blocking dust transactions directly killed SatoshiDice. SatoshiDice could have keep running, it would have just cost more (min 10k sats) for each of their "alert transactions". The BTC price going up significatly in 2013 also undermined the SatoshiDice business model.

I think a similar things will happen with inscriptions, as fees rise. Looking at mempool.space, a inscription transaction costs $75+ while a simple payment transaction costs something like $0.25. If the BTC price quadruples (or the sat/B fee rate quadruples) then inscriptions become expensive quickly, while transactions remain perfectly viable for everything more expensive than a coffee.