I'll answer this in two parts.
First, yeah. That's life. Holiday doesn't mean a day at the spa or a day of pampering. If it's your day off and the sink stops up or the tire blows out, that's the way it is for the rest of us. If an 11 or 12 year old thinks that a holiday means a day of doing nothing, they should consider that it's Mom and Dad's day to do the same thing. As in, good for you, but you're making your own dinner and I ain't driving you nowhere, because it's my day off too. There's no understanding anywhere on the planet that Christmas or New Year's is a day off just for kids.
But on a broader not, I think a requirement for simple household chores is *great* for kids, and every single kid in my extended family who was exempted from simple chores - well, it shows. Slovenly, tardy, slipshod attitude towards work and commitments. I'm not saying it's a guarantee, but it's astonishing how a lack of any kind of regimen in their life has borne such awful fruit.
Amazingly, when I look back on my own parents, they did not pawn off jobs on me because they were too self-occupied to do them themselves - they kept at us to do things like take 20 minutes make our own beds even though they could have just told us to step aside and do it themselves in about a minute. My dad would work in the yard while little brother and me would stack the firewood or clean the garage - a job that might take us all morning but would have been effortless for him. Everyone had simple daily tasks like set the table for dinner, take out the trash, feed the dog. Mom and Dad could *easily* have done this themselves - and I have siblings who DID take this route with their kids - and I am glad they took the time to do that.