Okay, so your direct rivals I'm assuming includes United, City, Chelsea, Spurs and I'll give you Arsenal too, then obviously you've got Everton as your local rivals, so that's 12 games over the season, and you've been winless in 9 of the 11 you've played so far, losing 3 of them. Remove Arsenal as they haven't been a direct rival for anything for the vast majority of the season, and that's winless in 8 of 9, still having lost 3. All but one of the winless games (including the one vs Arsenal) have been part of two fixture game-weeks. That's 2 wins, both at home, from 11 games, with Chelsea away being your last remaining fixture from this group of teams.
I can't argue that it has affected you more than Chelsea or Spurs because they're a) below you in the league, and b) I can't be bothered looking up their results.
However, the post I responded to mentioned specifically that without your slow start you would be challenging United for 2nd. Your slow start included dropping points against a group of teams that you're now discounting as rivals, so either you were dropping points in those games anyway, and wouldn't have been challenging United for 2nd as was claimed, or you weren't dropping points in all of those games, and there was perhaps some sort of factor that affected your ability to get the win in those games, such as a mid-week game.
Just for your reference, here's the Liverpool and their rivals table:
Congratulations on being above Everton.