Who is best at Fischer Random chess, humans or engines? I know that the old good question about engines vs humans has been asked multiple times, e. g. here.

But what about random chess (aka Fischer chess or chess960)? Can humanity feel confortable about struggling machines in this game?

Do you know of plays or championships that throws any light about the question?
You have to understand, that a top ten player is superior to an engine in the opening, because he used engines to analyze openings for many years, and because engines usually don't have an opening book on the level of the preparation of a top player.

In chess 960 you basically take away the opening book for both players and at the very top this actually benefits the engine.

So I think there can be no doubt, that engines would be similarly superior in chess960 as in normal chess. But the only Human-Engine match I know of was still won by the human player: Peter Svidler vs Baron, 1,5:0,5 in the year of 2005.
Of course the big jump in engine strength only came with Rybka in the very same year 2005.