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.
Besides the technical side, in essence, what would be the difference between a ZeroSync client and an SPV wallet/light-client? SPV wallets have existed since the early days of Bitcoin, I believe full-node proponents wouldn't mind another implementation of another kind of light-client.
SPV clients inherently trust other nodes for block contents. Another implementation of it does not seem to solve this.