I personally really don't care about the money (no lying, I swear).
I care, though, about the fact that money brings me time, and as such more freedom to do whatever I like.
These two statements are contradictory. The whole point of having it is that it is stored value that can provide you with the things you actually need; time, in your case.
I don't see it contradictory since my freedom and time is not solely brought by money; money is just one ingredient (in the middle of knowledge, confidence, etc etc).
Similarly, I don't care much about H alone, but I definitely enjoy H2O!
Yes your freedom and time is solely brought by money, and because money is a representation of value, anything you do of value for someone else effectively buys you the means to freedom and more time which is exactly what you are doing to afford yourself the freedom of not caring about money.
However, if you did not have money, you would either:
a) Be comfortable living the most basic lifestyle humanly possible.
b) Be working so you can afford yourself the lifestyle you want.
Clearly, you are not in group A since you have a more than comfortable lifestyle, so it's B. You did contradict yourself.
Your first sentence is an opinion stated as a fact, which I disagree with. But I don't consider that stating something demonstrates it.
Later you divide the whole humanity in A, B (and C). I certainly do not consider this is correct, and believe there are many more cases to be considered.
I cannot see what could possibly go wrong, going from here, in terms of deciding that people contradict themselves, logic, etc!
Feel free to consider I contradict myself - I certainly do not agree.
I care, though, about the fact that money brings me time, and as such more freedom to do whatever I like.
These two statements are contradictory. The whole point of having it is that it is stored value that can provide you with the things you actually need; time, in your case.