It only takes one party to block and there is shame in blocking, why would another country admit that they would have blocked if not for the vote of that shameless Hungarian?

Simple: there will a lot of focus on persuading that single country to change its position. And once persuaded (or "persuaded") it will be too late (and ridiculous) for the "secret supporters" to voice their opposition.

> why would another country admit that they would have blocked if not for the vote of that shameless Hungarian?

This may be true or not. Doesn’t matter. Those others waited. Hungary didn’t.