Add an option to allow eyeball blocks, like rain, to slowly fill cauldrons under them. If this won't be done, why have them drip at all.

That sounds disgusting. Wanna use eye water to water your plants? Drink the tears of a nether eye?

Yes, please let a visual effect be just a visual effect.

Well, it could be used for something at least...
Remove the effect altogether then

Just like water and lava particles can pass through blocks for aesthetic reasons, eyes can drop particles. Not everything has to copy 1.17 dripstone mechanics, particles are 99% cosmetic most of the time.