Has asymmetrical chess 960 ever been tried?

I came to chess after my 40 and I just love it :-) 

As I play for fun AND do not see why a game of strategy should rely on massive memorization, I only play chess 960 in daily or bullet in normal. 

Playing chess 960 I was wondering why we only have symmetrical play, why should white and black have the same starting position ? 

Looking at statistic of game played it seems that white as a big advantage on most of the position. 

http://www.computerchess.org.uk/ccrl/404FRC/opening_report_by_white_score.html#table_start

Why not make the game more even AND more interesting by starting with different position for both. 

Ideally you could have computer playing against themself to find a combination that get close to 50% but you could also find combination strongly favoring black or white to allow unevenly match player to have an interesting game. 

For example White as a position where : 

- Castling cannot be done in less than 10 moves and/or you need to move on rook to be able to open long side castling (so keeping both option open like in classical chess is not practical

- one or more pawn are unprotected 

- knight in the corner making blocking them easy by forcing a one square pawn move the B or G file. 

Black position has : 

- castling on the first move possible 

- all pawn are protected 

-  having rook/queen on both E and D file making it easier to control the center

- having bishop on the A and H file controlling the central  diagonal 

That's just basic idea but I would like to try playing with a configuration different from my opponent one. 

Asymmetrical Chess 960 has certainly been tried, and I've played a number of correspondence games on Scheming Mind, where it's known as 'Double Fischer Random'. See, for example, this 8-player knockout tournament from several years ago: https://www.schemingmind.com/home/minitournament.aspx?tournament_id=3500

If you google 'Double Fischer Random' (or something similar) it brings up a few related items that may interest you, such as https://en.chessbase.com/post/double-shuffle-chess-a-fun-variant-against-fritz-online

And here's an old post from this forum on Chess 960 with rotational rather than mirror symmetry: https://www.chess.com/forum/view/chess-variants/chess960-why-mirror-symmetry-not-rotational-symmetry

Thanks!