If you mean cultured in aquaria then yes, if you mean aqua cultured in the ocean maybe not. Aquacultured clams are usually still grown in concrete tanks connected to the ocean with natural light for example. The Indonesian corals that just came back to the hobby are aqua cultured in the ocean. I don't think these have any of the advantages I'm about to talk about.
Some corals do better than others in aquariums, even in the same species some specimens will adapt better than others. This is natural.
Just like in evolution in the wild the "strong" adaptable specimens will grow faster in our aquariums, they will be propagated more and eventually spread out between many tanks to repeat the cycle. These strong growing aquarium specimens will hopefully and eventually push out the non-adaptable specimens from the same species and we're left with lots of hardy corals.
I think this is what we see when people say aquarium grown corals are hardier. If you buy 2 acros of the same species and one grows well while the other one struggles eventually you're going to frag the one that grows well. Those frags will spread more throughout the hobby because this particular specimen is more suited to aquarium life. By the time you have fragged the less-adaptable acro that isn't as suited to aquarium life you have fragged the faster growing more-adaptable coral 20-30 times.
Xenia in the 80's used to be an extremely rare and hard coral to keep because it shipped poorly. Now it's a weed coral that people can't give away... This is because after importing 1000's of specimens from the ocean we found some that could adapt and handle being transported and adapted to aquarium life. Now it's everywhere.