It depends entirely on context, in all honesty.
No my DC do not get final say, or make decisions, or get all their wants administered to immediately. Their needs are met, as they should be by all responsible parents, but I'm not raising little princes who think their every whim should be met!
If I had spare money and a choice of spending it on something they want, or something I want, then sometimes they'll get it and sometimes I will, depending.
If I want but they need, then they get it.
If they want but I need, then I get it.
My children's needs come above my DH's, because they're still very much dependent on us as parents (at 11 and 6). But when they're adults, then things will change again.
But if it came to a house fire, for e.g., and I had to save them all, I'd save the children first without question.