If i am understanding this correctly, if it is hosted on a cloud and pre-verified by you, wouldn't people have to then download/transfer it off the cloud to have on their computer which would take up a relatively equal amount of time then if they were just to download it themselves?
If they were to synchronize it themselves, it can take more time since the client also needs to verify each block individually.
This helps the people who have weaker hardware and aren't willing to spend more time and resources for it to synchronize. Its unsafe to download the blockchain without verifying it yourself though.