This season is a one off and Sky/BT would need the PL's agreement to do it. Who would argue if it was agreed to switch the 12.30pm and 5.30pm games today? Nobody. And yes, the different slots have different values - the Sunday 4-4.30pm is the prime slot then it's Saturday 12.30pm & 5.30pm pretty much level, then Sunday 2pm and finally the least valuable is Friday & Saturday 8pm. That's why swapping the 12.30 and 5.30 slots doesn't disadvantage anybody.
I know it won't get the press when he says it about other sides but Klopp has been making these same points since day one, when it's been an advantage to Liverpool and or gone against Liverpool's rivals. Whether you agree with him is another point but he's absolutely not a hypocrite. Just a few weeks ago, before Liverpool were scheduled to play at this time, he made the exact same argument when Utd were asked to play Wednesday and then Saturday lunchtime, when Liverpool played Tuesday-Sunday.