I'm not convinced by this argument. The advantage of black isn't in the first move, it's the fact that he has the last move. Swap rules work (although I won't say 'fine') for games where there's an advantage of having the first move. But in Cheversi, it's the advantage comes at the end.

mangue: I'm not willing to say that it should be prohibited.  (I would say so, if it occurred any more frequently than it does at present.)

But I think it's unfortunate when one player can find that they have lost a game on move 4, when none of their 3 moves have been faulty.

mangue: I admit to having a particular fondness for defensive play and for endgames in nearly all variants.  Variants in which those are less frequently seen, or which call for no skill in those areas are less appealing to me.  I consider the thematic Dice Chess Nc3-Nb5-Nxc7-Nxe8 (and mirror image for Black) maneuver to be a blemish in the game itself.  In my experience, it's only executed in about 5% of games, but is threatened in perhaps 25%.  It reminds me of the scholar's mate in chess: fascinating to beginners, but a horrifying thing for a knowledgeable kibitzer to behold.

I'm also not thrilled by compulsory king moves in the single-die version, although one can adjust one's play to account for it, both offensively and defensively.  Two-dice versions typically don't suffer from this defect; dice rolls alone cannot compel a king move, in versions I know of.

As usual, I'm playing way too much Dice Chess here.        Yes, it's making my head spin!

And lately I've taken up Backgammon here as well, and now I'm beginning to think that Dice Chess would be pretty cool if matches could include the use of a doubling cube.

It's just a half-baked notion, and not at all a serious request.