Actually there is absolutely 0 correlation between the 2. I have seen GM players of 2500 ELO who are below 2500 in blitz on lichess (or chess.com for that matter) and then I have seen 2100 Elo players with 2500+ blitz ratings.
You are basically trying to compare 100m sprints with marathons and on top of that men vs women. Some women are going to be better than a whole lot of men at sprinting but would be bad vs marathon runners and vise versa and so on.
Just too many variables (take for example Michael Bowersock who is 2176 ELO and 2900+ blitz on lichess) that you just cannot compare any of it at all. Sure we can find a base line, but it still does not matter... if your good on lichess your good on lichess, if you are good in the real world, your good in the real world (and yes you can be good at both and you could suck at both lol etc)
You are basically trying to compare 100m sprints with marathons and on top of that men vs women. Some women are going to be better than a whole lot of men at sprinting but would be bad vs marathon runners and vise versa and so on.
Just too many variables (take for example Michael Bowersock who is 2176 ELO and 2900+ blitz on lichess) that you just cannot compare any of it at all. Sure we can find a base line, but it still does not matter... if your good on lichess your good on lichess, if you are good in the real world, your good in the real world (and yes you can be good at both and you could suck at both lol etc)