Liverpool were the ones who kept hyping the transfer up and recorded an interview with Fekir and took photos after the medical took place, so yes they can be blamed. Fekir's head is gonna be so messed up - after the interview, the photos and choosing a shirt number, in his head he would have believed he was a Liverpool player then to have it taken from him like that is pretty cruel.L'Equipe report that Liverpool's medical staff feared a re-injury of his knee. An expert physician stated: "when we have an MRI of this type of case, the first thing we see are traces of ligament repair. In this case, what poses a problem no doubt, is the wear of cartilage. It's a risk factor. It can cause pain, functional issues and eventually a lesser resistance to impacts."
So, Klopp's intense football would've made things much worse. Obviously I feel sorry for Fekir as this can have an impact on his future transfers, but I can't blame Liverpool
Liverpool basically did everything: the medical, photos, interview then tried to negotiate a lower deal with Lyon after the player's head was completely turned rather than just pulling out altogether if the medical results were so concerning.