Chess960, but both sides are different

I'm sure this has been thought of before, which makes me even more shocked that I have never seen anyone talk about it. (That's probably because I don't look at the chess variants forum a lot, though. Forgive me if this has been brought up 1,000 times before.)

This is pretty self-explanatory. The standard Chess960 rules apply (bishops have to be on opposite colors and the king must be between the rooks); the only difference is that both players have their back rank randomized differently, so you have to really pay close attention to both sides before moving.

For example:

As you can see, this can potentially lead to some...unique games, including some positions where one side may have a pretty clear advantage right out of the gate.

I don't know about you, but I'm already imagining the fun and exciting games titled players and noobs alike could get from this variation. Potentially unbalanced starting positions aside, I see nothing to complain about.

It sounds interesting

Yes, it has been discussed several times previously! 
For example: https://www.chess.com/forum/view/chess-variants/why-not-double-chess-960-variant-two-different-960-starting-positions-with-921-600-games-possible

One might wonder why top-notch GM's doesn't request this format for OTB play.

Chess960 is brilliant!!