Better footballer no doubt. Whether he will be as effective for Arsenal cant obviously be measured right now, but Francesc has now been finally replaced in my opinion
Whoa whoa whoa. Just because Cesc doesn't play for us anymore doesn't make Cazorla better. They're different players... but Cesc was the complete midfielder. Cesc would get into any starting lineup in the world besides Barcelona and he's even remade his game for the Spanish national team as a really effective false nine. Cesc is third best central midfield-type player after Xavi and Iniesta for me and after that there's a big gap.
Having said that, it's fine because we have a team that functions as a unit now. Diaby was out; Coq replaced him perfectly fine. Giroud can't score? Stick Gervinho up front and he scores two, assists one. Cazorla will be the trickiest to replace but if Wilshere comes back as strongly from injury as Diaby did this season, he could easily fit into all three central midfield roles.