We were good enough to win the Palace game, it was a poor result and performance. I think the injuries are the reason we lost (I don't see a defeat with kane/alli/son available) but that doesn't mean our back ups shouldn't have been capable of doing the job. I think the fact that the likes of Nkoudou and Llorente have basically never played with each other and have little chemistry/match sharpness played in to it a lot and we were simply lacking any attacking cohesion, which is understandable when you have to replace your entire front 3 against PL opposition.
People will say 'that's Pochettino's fault for not resting' but in reality when a manager finds clearly his best front 3, he'll pretty much always play it, injuries permitting. Salah/Firmino/Mane always play for Liverpool because why wouldn't they? You have a winning formula. It's fine when one player has to come in and be replaced (i.e lucas for son) but when you get an entirely new front 3 you can see the impact it has on a side, look at how blunt Liverpool were against Wolves for a chief example of that.
His response is simple deflection. He does play strong teams in the cups and we've contested them in the past. We rested a couple of players for the Palace game (Winks, Eriksen) because we have a crisis, but in most cup ties we play near enough our strongest sides, no different to any other top manager in this respect. That said, I think he made a mistake and should have kept his mouth shut, the comments only drew more attention to our lack of trophies and made it sound like we don't care about winning them.
We don't think top 4 is the summit, but it is the most important thing for us as a club right now. Financially we're struggling to compete even with CL football and keeping hold of our best players and any future signings are pretty much totally reliant on staying in Europe. As much as that's boring and unexciting for the fans, the truth is that we need CL football more than we need a league or FA cup (which contribute little in terms of long term development) and that is the priority set by the board.