To expand on that a little, I've been to a fair few fuckups at The Bridge and even when we lose, the players will come over and clap. JT, Lamps without fail every time and at least in every one I've been to pretty much everyone would come, though I can't speak for some games last year. The mood was always ****, but there is a crucial moment of solace there, they come over and you could feel their pain at losing, it would be etched on their faces. Didn't make it any better, but it gives you a link to the players on the pitch.
Now, I haven't been to the Emirates in the Arsenal end in years but I can't imagine things are better so I'm going to say it's still relevant. I watched them get beaten 3-1 by Villa on the opening day back in 13/14 and even then, it was a smattering that came over. Most looked shocked and dejected, and wandered off the pitch, to some boos I might add. The fans were furious in general, and there was a disconnect there and it took Wenger coming out after the match to say sorry to smooth it over iirc. It's such a small thing, but it is appreciated. Even at Arsenal, where you sure as **** aren't going to be accepting the apology and the excuses any more, the fact that they at least tried to console you is worth something. There is such an obvious disconnect between the fans and the club in general at the moment, that these tiny things must seem more significant to them. I imagine Scouse is more sensitive to it too because as duff as Liverpool have been at times, you could always tell that they cared about the fans and hated letting them down.