They NEED a horserace.
A lot of them see 20+ points as a chasm. But those who do the homework see how many draws we got against poor opposition with good defences. That’s a lot to make up, but there is an easier path than some would think. Palace will be an early test.
Yes, clearly. We had a good start, but if anyone sees the underlying stats we scored 45 goals at home (31 in the last 10 games at Anfield) last season and we only conceded 10 goals in 19 games at home (5 of them from 2 games against Spurs & City). That means we only conceded 5 goals in 17 games at Anfield in the PL last season. That's brilliant and I can expect the same to continue. West Ham was an extension of that. We will hammer some teams at Anfield just like we did last season and score in most games and won't concede in most games. We need to convert a few difficult draws into wins.
Away from home is a little bit harder to close the gap. We've to be better against the rest of Top 6 than last season (we lost 4 top 6 aways and drew 1 - so that's 1 point in 5 games) and convert some of the away draws against lower sides into wins. If our signings and the experience of last season will help us win those games, then we will be thereabouts with City. But there's work to be done to get there starting with Palace. As you say, that's a good start for a test.
We actually have a harder start in terms of fixtures than other Top 6 sides. City don't play anyone who'll trouble them until they meet us at Anfield in the 8th matchday. Before that, we have Palace A, Leicester A, Spurs A and Chelsea A. If we stay within 4 points of City when we meet them and retain that or better that after our game with City, then I'd say we'd be having a very good first half of the season. After that, our next major challenge in terms of fixtures will come during December with midweek games every week for around 6 weeks. After that, we have a fairly comfortable ride in the 2nd half of the season with most of the tough aways already done. If we're within touching distance after January, then it wouldn't be beyond us to do it.