You should live by your own values and principles, as you understand them. Following other people’s rules, even if you don’t understand where they come from, is pointless. It’s definitely not Objectivism.
Objectivism is not about rules, it’s about values and principles. It’s not about the laws of society, it’s about who you are. Your concern (if you see Objectivism as the right philosophy) should not be to follow the perceived rules of Objectivism. Instead, it should be to become an Objectivist. There’s a huge difference. For starters, and Objectivist has to understand the abstractions of the philosopy.
But, beyond understanding, the most important thing an Objectivist has is integrity. His beliefs and values/actions are in sync. This youtube thing is pretty trivial, but are all your important actions and values in sync with beliefs you profess to hold? Do you always work as hard as you could, do you always treat others justly and with the kindness they deserve, do you always have the courage to claim what you believe is yours, to say what you believe should be said, to talk to the woman who’s lover you believe you deserve to become, etc.?
If the answer to all those questions becomes yes, then doing the right thing about some stupid youtube rule will not be tiring at all. Not living up to a principle you profess to hold (or one you have judged to be correct) would become the strenuous, intolerable action. Treating the owner of Youtube unfairly (and make no mistake about it, violating the terms of service of a private enterprise means treating the owner unfairly) will seem unconscionable to you.
Look at it this way: if you were alone on an island, an no one could ever find out, would you kick a puppy (not hard, but enough to scare it away) just because it would be easier than actually picking it up and moving it out of the way? If the answer is “No, that would be horrible.”, that’s because you truly believe in a set of principles that prevent you from doing that, and that belief you accepted is entirely in sync with your values and actions. Once treating others fairly becomes just as much a part of who you are, you will be one step closer to being an Objectivist, and not acting like an Objectivist will become just as horrible as kicking a puppy.