I don't think he believes it is wrong either but I do definitely think he cares. They all care really. Recognition is something all humans need and seek in every field. This is especially the case if you are one of the most successful managers ever. That is why it can't feel nice for him to be questioned as much and more importantly, to be pursued with less aggression than Pep who he has achieved at least as much as. It must nag him that people still talk about Wenger as a top manager when in his eyes, he failed at the only criteria that matters. The reason I say that is that he gets more personal in his criticism than any manager I can remember. Not only that, he actually brings up those very same issues (philosophy, attacking mindset, possession, etc ... ) sometimes unprovoked. His digs at managers who are associated with those traits like Pep, Wenger, Barcelona in general, scream of someone who hates that his style is not valued as much as theirs.
I do think that his failur in his later years at Real was an idealogical problem from his part. His methods of reacting and adapting to the opponent worked perfectly when Real were indeed in a bad moment. They hadn't gone past the last 16 in the CL for years and Barcelona were the dominant force. He came in and instilled a siege mentality of sticking it up to them and it worked wonders. But once Real re-established themselves as an equal force, it couldn't work anymore. Players couldn't just go and play with the same mindset or accept instructions that were reactionary and anticipatory when they were among the best in the business. It looks like he might be trying to adapt here and compromise what he is truly comfortable with and that is why I think he is finding it very difficult to do a good job.