Technically, no. Skeletons are most likely the results of some necromancer's tinkering and are controlled directly by said necromancer, and therefore do not have any consciousness, or they're revived and have a standard-issue intelligence. Its mind is the same as every single other skeleton revived in the same manner. It would be different if they were liches, but they aren't.
Zombies, on the other hand, are dead. They used to be people but aren't now. unless they're villagers, they cannot be cured. At all. The zombie used too be a human, with hopes, dreams, ambitions, loves, hates, etc. but was killed by a zombie and got converted. Since there is no way to cure them, you would be doing the zombie a service by killing it. Or at least whoever the zombie used to be.
A zombie village would be freaking epic, though.