It doesn't seem that way, it is that way. If you have to muddy the definition to make it fit then it's not very practical. I sense your particular context being a class of people who have power through ownership of means. My point is that ownership is available to anyone, either by buying shares (fine if you say that's difficult) OR by starting their own business (literally minutes away on the internet).

If anyone can join then it's not exclusive. In fact it's entirely welcoming. The economy not only supports it but relies on it, demands it even, and the very people you may claim are the most powerful today includes members who have started with nothing and were far outside that 'class'. The boundary is completely porous and ever-shifting so as to be non-existent outside of a political discussion. There are no chains binding you.

So what is the use of such a definition other than a "us-vs-them" distraction? When the "them" is open to anyone? It seems like the side which is dividing and conquering is not the capitalists.