Even though the loss of Liverpool and win of Brighton would not have a significant effect on the table, it shows how competitive the teams are in premier league. It would be difficult for Liverpool to make a new record on stats as they won't be able to come near their own 2019-20 records.
As of Manchester City reaching champions league, I see they have more chances to qualify than Aston Villa, Chelsea or Newcastle. Chelsea would be in the largest trouble as they are facing Nottingham Forest which is keen on taking points. Newcastle and Aston Villa too have just a single match left while Manchester City has 2. Even though Chelsea, Newcastle and Aston Villa wins their respective matches, If Manchester city wins one and draws another, they would rise to the 3rd position. So its more like a battle between Chelsea, Newcastle and Aston Villa.
I think the match between Liverpool and Brighton, the loss of Liverpool and the victory of Brighton will not make much difference to the league table standards because it does not matter. When a very strong team loses by a large margin, their table and points are not immediately changed. When they go down, the entire table goes up and down. There will be some changes in the table, but there are no significant changes. And secondly, the performance of Manchester City is a good team, a strong team, plays very well. The team of Manchester City and Nottingham Forest are very good teams. These twams are Strongs and they can give a tough competition to other teams, like Chelsea or other teams. It can be a little difficult for them because when a strong team goes against another team with very good points, She also puts pressure on her opponent due to her strong image, which becomes a clear reason for her victory and the next team's loss.