I am not sure how the Bitcoin community and pro full-node proponents will accept the idea of not being the ones that perform the full verification process themselves. If the idea has always been to verify and not trust, I don't see that changing. I guess it's also going to depend on how ZeroSync exactly verifies those transactions. An increase in centralization will surely not be something hardcore-bitcoiners will approve of.
I don't know ZeroSync actual tech, but from what I read my educated guess is they are going to use recursive or folded SNARKs, in the path of an "old" idea called UTREEXO... so not possible to judge just from that simple article, but tech to do something good exist... and StarkWare funding seems reassuring