if you get something wrong, for any reason, learn to shut up and listen to those who got it right from the start. And if you break something, then you don't get an opinion on how it should be fixed.

"No", and "false", respectively.

If something is mine or otherwise under my influence then my opinion on how it should be fixed shall determine my action. If, all things considered, I believe it will achieve my ends to have someone else fix it according to their abilities or expertise then I'll go ahead and do that. I'll also choose who to listen to according to my own judgement. Initial success at some practical activity represents some evidence about the likely usefulness of their word but it is far from definitive.

Incidentally, the blog post that represents the context of this quote seems to be ridiculous, gratuitous sexism.