Sure, the rules about shooting times exist for safety reasons. I disagree with those rules, I wish they were inline with what other states do (30 min after sunset, etc.), but they're not, and they're stupid. Now, violating these rules is NOT so much a safety issue as a fairness issue. The big buck I shoot 15 minutes after legal time will not be there the next morning for my neighbor to shoot during legal hours. I would have robbed him an opportunity to get that buck legally. My breaking the law directly affects my law-abiding neighbors. There's where the problem lies. Driving 72 instead of 65, if done safely, doesn't take away anything from anybody.
As for the issue of putting down a wounded deer after hours, nobody else is affected. I would do it; call the DEC, fine me, call me a poacher, I don't give a sh*t. I shot it, I wounded it, it's my responsibility to clean up my mess.