I think you need to read up on how Liverpool first rose to prominence, they had their own cash injection back in the day from their own “sugar daddy.”
The thing is though they've had relative success
They did, when they were the most financially “doped” club in the league. They’ve squandered all of that relative success since through mismanagement.
If I was a West Ham fan I would be monumentally pissed off that they can only be bothered to play well (relatively speaking) when they play us. They were complete crap for most of the last two seasons except when they had a chance to 'stop us winning the league'. If they put in as much effort against other teams they might be half-way decent.
I don't have any sympathy for Liverpool fans. They had a long run of success which established them as a really massive club. That will last them a while. Since their real glory days, they continued to win trophies regularly until a decade ago. They've won one trophy and qualified for the Champions' League maybe four times in the last ten years, which isn't bad for a team in a slump. They continue to pay big money for players and to offer big wages. Not that long ago they recruited one of the hottest managers in Europe (up to you how you interpret 'hottest'). They are better than mediocre for the Premier League, and they should expect to sign good players, challenge for trophies and Champions' League places.
