Direct quotes = documented proof.
Sorry to break this illusion but quotes are not documented proof, they are actually just quotes. Proof requires evidence and corroboration, as I said do you believe your mother who told you there was a Santa Claus? This is a quote, but it isn't documented proof, that should be simply enough for you grasp the difference.
The you say one of them is lying, but if that's the case, then both of them must be as they are working under the same system.
See this is where you're struggling, because they say the same thing does not denote both are lying, one can indeed be telling the truth and the other be lying and they aren't actually working under the same system but indeed Klopp has brought his own men and and the system has indeed changed, hope this isn't too complex for you to follow, because it's actually relatively simple and proven above.
2 quotes, both straight from the people concerned, saying exactly the same thing in a different way.
Saying exactly the same thing in a different way isn't exactly the same thing. One said there was a problem and it is now not a problem, therefore the problem has been fixed. They actually said different things, you choose to hear them the same, you choose to believe them as documented proof, you choose to delude yourself, your problem and not mine.
I actually pity you right now for being so wedded to your agenda that you will swear black is white, and insult managers old and new, just so that you can think you're right.
I've proven I'm right with evidence, you've suggested you're right by providing "evidence" I provided with you, this evidence would not stand the burden of proof.
2 direct quotes, straight from 2 managers, and you are still trying to argue the toss, not to mention your internet silliness where you skate around the edges of the rules with personal remarks hoping to get enough of a reaction that you can report it.
Saying the same thing over and over and expecting it to prove anything.
If I told you the sky was green would you believe me because I told you, or would you look up and confirm it for yourself with evidence.
The evidence shows conclusively that you're wrong, that the two systems in place are completely different and will operate differently going forward.
Facts Swab, not conjecture.
Just in case you missed the point:
Quotes are not documented proof without corroboration.