I didn't say it was, I only said that it is internally inconsistent with the other premise that "there can be infinite effects with no cause". Either one of them could be actually true but they can't both be by definition, so they can't both be stated as premises in the same logical proof.
@Link recognised this inconsistency in his OP too, he just took the wrong approach to resolving it.
The issue span wise, infinity would be something eternal. It cannot be composed. So the contradiction and paradox happens when you try to compose it and slice it into events.
Another way to tackle the issue:
Say there was infinite commanders, none would give command unless higher one gives it, and chain wise, each one is higher then the other. We can see logically, this would never happen since there is no highest. And so there would be no commands given.
Same analogy, we can give to "effect" and "cause". Each effect is saying, they won't come to be, unless previous effect commands it (to make analogous to example), but if this goes on forever, it will never start.
This is why you need a self-sufficient cause that breaks the chain.