I think this would matter more to me if the feedback was ever useful. The feedback from these "no" is more cliche and less useful than a Dear John letter. All I ever hear are "another more qualified candidate", or rarely the slightly more useful "culture fit".
Having been in industry 30 years, it’s only about 15% of the time that I have any specific constructive feedback that’s worth sharing. “When you’re talking about problem X, first make sure you understand the problem because it seemed like you jumped straight into a solution that missed a key element of the question.” Or something similarly specific. In most cases, it’s more “you did okay, but someone else did better…
My reaction to the feedback he got when he finally jogged someone into responding was like yours. It was the typical cliche rejection letter. Maybe a bit more personal than some. I'm sure that the "wires got crossed" and the "email never made it to your inbox" are just a smokescreen for "we hired someone else and didn't bother to let you know."