> Can the conclusion stand if the arguments are not correct?

It can; arguing it can't would be an 'argument from fallacy', itself a fallacy.

Put another way, I can make up a totally absurd, incorrect argument that the sky is blue, but the sky is still blue. I can also make up a totally absurd, incorrect argument that the sky is green, but it isn't. An argument that doesn't hold water doesn't say anything useful about the conclusion either way.