Neville's opinions annoy me at times because he often gets very near to being right but misses it very slightly, or he pretty transparently applies double-standards when it comes to talking about people he's mates with. Him wanting Poch isn't one of those times, it's just a pretty mundane case of a high profile fan having an opinion I disagree with.
His views on players being out-and-about in public after a major loss is partially a case of him applying his own standards to others selectively, and partially a case of being out-of-touch with the reality of modern football/the media. I'm sure some of his teammates back in the day were out and about doing things they enjoyed in their free time after losses, even if he wasn't. The difference is that 99% of the other people at those events didn't have smartphones and there wasn't the same blanket media coverage of every sporting or cultural event/figure that there is nowadays. For a Premier League player in the late-90s, going on holiday and watching some sport abroad during the International Break after a bad loss would be 'keeping a low profile'.