I agree with everything you said. I would even go further and say that even without injuries, Klopp had been doing a poor job this season. They were poor in attack, leaky in defense. He just has a plan A, which worked great for 2-3 years, but teams have figured them out and Klopp is clueless with coming up with a new idea.
My problem with Allegri at the end of his tenure is not so much our tactics, but the fact that he and the team looked emotionally and mentally drained- which I do not blame him for. 5 years at a club like Juve takes its toll on you.