They got a lot more time because of their injuries than most would. It's partly because the media don't see them as a big team, like Chelsea, United, City etc so fundamentally they don't believe they should be challenging, only hope they are.
They are starting to break with the injuries stuff though. on Sunday they probably had a couple of first choice starters missing (VVD & Fabinho) and the rest is a starting 11. We probably had 4-5 first team starters missing (Gbamin, Calvert Lewin, Allan & Mina) so we have more players missing really. Most of their problems are offensive, yet they have their 1st choice front 3 available, and Thiago/Wijnaldum who would be challenged with creating for them. There's no excuse.
I detect a change from the media too, who are starting to grow tired of that. Even die hard Jamie Carragher is having to admit it's no down to injuries, so when he does it, you know the worm has turned. Klopp would have got away with a title challenge, a top 4 finish etc with the injuries they've had. He won't get away with not finishing in the top 4, or more pertinently spiralling down the league.
This seasonr esembles 2001/2 a bit for them, a great start for them which completely fell away. They ended up around the mid 60's point but snuck into 3rd. But the damage was down. God rest his soul but Houllier's time was up then. He had won more trophies than Klopp had, but it turned very quickly, as they are now turning very quickly. Carragher and all the other die hard reds can't wait to stick the boot in to Klopp. You can hear it in their voice. He probably wants his mate "Stevie" in charge and a cushty little role on the coaching staff. For lot of them LFC is just a gravy train to be milked.