It depends, a lot. The way I interpret the question is if you'd like to be... sort of carried through life? Like being a prince, perhaps. You wouldn't have much freedom to do your own thing, but you'd probably be happy.
So, theoretically, if there were people prepared to restrict my freedom and keep me happy, I'd probably answer happiness. On the other hand, as I am now, I don't tend to take ignorance as an option... I'm not sure.
Except, what if you get tired of being a prince?
What if you make a lousy prince... Don't like making laws, handing out decrees, visiting the neighboring kingdoms, meeting with ambassadors... Just get sick of all that. What if want to spend your days working with metal or growing plants or whatever? And you can't, because you're too busy doing all your princely stuff?
What if the kingdom needs you to marry some specific princess for political reasons, but you feel absolutely no attraction to her. She's stupid, and boring, and has the wrong color hair, and doesn't bathe.
You may have lots of luxuries... But without freedom you're going to wind up in a situation you don't like sooner or later.
The thing is, it's also quite possible to have freedom and never have the opportunity to make yourself happy...
What opportunity is that? Do you need some million-dollar house to be happy? Do you need a fancy car to be happy? Do you need to marry a supermodel to be happy?
Happiness is an internal mental state. It isn't some outside force acting on you.
You can be happy slaving away in the mud all day long... You can be miserable with billions of dollars at your disposal...
A large part of happiness is being content with what you have.
But a very important part of happiness is self-determination. Choosing to work in the mud all day long is very different than being forced to work in the mud all day long.