How do FIDE rated players perform on lichess? I have been playing on lichess for a while and it strikes me how low ratings are compared to other rating systems. This is not to say that players are weaker, I have quite the opposite feeling, but ratings are Glicko, rather than Elo, and this the number of players is reasonably low, so this prevents inflation but still...

I am wondering what a typical low-2000s FIDE player's rating is on lichess. (I assume that higher rated players don't play online chess?) Thanks!
I went through the list of LiChess classical top 200 players and collected the FIDE ratings of LiChess classical ratings of anyone who I could verify on FIDE's website as actually having a FIDE rating:

LiChess FIDE    LiChess username    Name

2585    2265    ClassyPlays         Thibault Dudognon [FM]
2389    1869    nikkon2006          Nikita Konstantinov 
2373    2274    PchelkinVK          Andrey Ermolaev [CM]
2357    1780    LeProfessionnel     Xavier Bohaer   
2329    1963    Callmoon            Lina Nassr [WIM]
2299    2249    Peristeria          Marcus Schmuecker   
2290    2214    Crocodilu1976       Adrian Stanca   
2278    1899    TonoyanRob7         Robert Tonoyan  
2271    1900    CamelClutcher       Daniel Herman   
2269    1985    Chess-For-All       Alexey Pugach   
2242    2242    weichi              Eugeny Pankin   
2241    2208    kirillgenius        Kirill Shcherbinin [CM]
2241    2247    Cizar               Srboljub Zaric  
2236    2065    pepellou            Jose Doval Gonzalez 
2235    2093    Suleymanov_Marat    Marat M. Suleimanov 
2232    2155    Son_Of_Caissa       Hrvoje Vlahov   
2228    2358    VadimCernov         Vadim Chernov [IM]
2221    2010    emiliooo            Emilio Profili  
2219    2274    Josip_buje          Josip Bulic [FM]
2214    1455    diarbovi            Diego Armando Bonilla Viamonte  
2206    1878    hebertvr            Hebert Valera   
2199    1958    MrsBlunderqueen     Jan Oltmanns    
2193    2215    aconeni             Ondrej Toman    
2193    2187    teddyhh             Julio Fernandes 
2187    2190    yichen              Yichen Han  
2181    2298    jolle23             Johan Hultin [FM]
2171    2270    Konnov_Oleg         Oleg Konnov [FM]
2164    2138    FrankDischinger     Dischinger Frank [FM]
2162    1754    moldscaien1357      Dimitrios Makridis  
2145    1898    shayanaghaie        Shahram Aghaei  


(I use the current FIDE rating, not the one listed on the LiChess profile; this affects 6 players.  One player had a FIDE profile page, but no rating: LiChess (2174); FIDE.)

We see some major differences in several cases, so we cannot expect a simple relationship between the two.  However, perhaps it's fair to conclude that a typical low-2000s FIDE player could likely reach a 2100+ LiChess classical rating.  However, I feel like it depends heavily on how seriously they play on LiChess.

Here's a plot of the above data, with a linear regression.  It's an incredibly weak correlation.