But that's how Spain played, not Barca. Spain were the real culprits of using tiki taka as a defensive strategy, VdB with his extra Dm, it was clear that they set out with the plan of nicking one goal and then just keeping the ball.
With Barca it was rarely like that. Messi, Xavi, Iniesta constantly try to find in roads, at least under Pep. Doing 1-2s, stretching it wide to Alves, etc, Pep was the one who used tiki taka to attack first, not defend. Teams getting tired was their own fault, anyone who thinks they can get the ball off that barca team just by chasing them is gonna end up fecked.
That pompy game was insane, it was the FA Cup one in 2008. Pompey didn't park the bus in that one though, there was plenty of space and we had a few counters going.
But usually the point of trying to break down the defense holds for Barca as much as anyone else. The thing they probably lacked were a plan B, which is a fair criticism and something you need when plan A can't break things down. Which is where we would be crossing, trying long shots, etc. But this whole argument of Barca keeping the ball for the sake of it is just nonsense and rarely ever happened, in those years under Pep.