I can't see Barca playing that way unless there are no trophies for a while. The playing style you have described is how LFC play. Barca are a club with their own philosophy of how football should be played. It's why xavi is most likely to be the next coach
We have always been a club that have liked to play attacking football, but this notion that we have to pass the ball into the net every time with 1000 passes per match and 85% possession has only become popularized since the arrival and success of Pep.
Problem is you can only win with that style if you have once in a lifetime players like prime Xavi, Iniesta, Messi and Alves all operating at their peak levels.
In fact once Xavi alone started declining in 2012 we could not maintain that style. Lost the league to Madrid and were knocked out by Chelsea in the CL. Following year embarrassed by Bayern in the CL. Year after that that lost the league to Atletico and were knocked out by them in the CL.
Only when Lucho came in and introduced a physical runner in Rakitic into the lineup and tweaked our style to release the ball quicker and go for throat more often did we find success in Europe again.