I think there are issues with these. We know Klopp front loads seasons. Almost every season, they start fast and fall away. They know they have to get a long way ahead of City to stand any chance (like more than 9 points ahead).
They have been really underwhelming in pre-season. Whereas most pre-seasons they whack opponents far and wide, Barca, Bayern etc regularly being put to the sword, this summer they have struggled with some very ordinary European opposition. If they don't start fast, things could begin to unravel as the pressure sets in. If they are not ahead of City after 10 games, pressure will kick in.
The other reality is, as I have speculated many times on here is that the pot is now dry. In blowing city out of the water financially they now have no money to spend unless they either (further) add to debt or sell a big player. At present nobody has seemed interested in buying one of the big assets.
The wage bill, which is heavily incentivised will now likely be over £300 million and thats before new contracts are discussed. Mane/Salah, VVD will all start demanding contracts upwards of double what they are on (currently nobody formally over 200k p/w). It all adds to the pressure. Coming 2nd and getting to consecutive European finals, alongside adding to debt is only just keeping them floating finanacially.
The trigger point in this, as it was for Benitez, is if they were to miss CL qualification. You cannot carry a wage bill that was already well above City's (before the bonuses took it over £300m) and additional contracts were renogotiated without CL football a long way into the competition. If they were to miss out, it would be a little like a house of cards and like last time you wouldn't rule out administration within an 18 month period. Thats the tightrope they are on currently.
The pressures are alleviated of course with a couple of big sales. At present nobody seems to be biting at the £200 million asking fees for the big players. Next year their value will be down further as they are another year closer to 30. Suddenly the fee go towards 150m and sides may begin to think they could get them down towards the 100 million mark. They may look to move Salah/VVD on for that figure to help with the pressure. We will see.