Actually it's not that there is no change in the standings, but because Arsenal have not played a match for their 21st week this season and if Arsenal are able to win their home game when they host Tottenham Hotspur, of course Nottingham Forest's position will be overtaken by Arsenal. So Nottingham Forest suffered a slight loss due to the draw, while the one who did not lose in terms of the draw was Liverpool even though the team also did not get full points because of this, but Liverpool can still hold on firmly at the top of the Premier League table this season.
Nottingham Forest got 1 precious point from a very strong, or strongest team in this season in Premier League. I believe they are happy with one point from Liverpool, even they tried to get 3 points, 1 point is already very good for them. It can affect their rank after this week, but 1 point from this match is very precious and important, and with Nottingham Forest, any point they can earn from now are very important for their fight to get as highest position as possible at the season ending.
It was actually a surprising match at the end because everybody was expecting Liverpool to win this match and not Nottingham Forest. But at the end of the match, they share the same points, which is 1:1; however, it was not really a good result for Liverpool, though, because they would have had more than one point so they can increase their chance of being at the top, but securing only one point is just as you said; it gives the competitors more chance to increase their pressure on fighting for their top position.
This draw can affect both Liverpool and Nottingham Forest because 1 point means they give a good opportunity to competitors to reduce point differences to 2 points less after this week. The more dissapointed team from this match is Liverpool, not Nottingham Forest, because Liverpool are stronger and they really want to win this match and every match from now, to finish Premier League with a trophy as soon as possible, to concentrate on Champions League.
You are right. Liverpool is stronger, and they are still doing good, and that is why everybody was expecting they could easily win the game, so you are saying the fact Liverpool should be a team that is disappointed, not Nottingham Forest. I think they even try for scoring 1 goal against Liverpool is not easy to do that currently, given how good Liverpool is in performance.