As you know, in Chess960, the first and eighth rows are symmetric and consist of the normal pieces which have be permuted. The only constraints are that the King is between the two Rooks and the Bishops should have different colors.
In King of the Hill, the start from the standard position and we can win by either checkmating the opponent's King or by bringing our own King in the Hill (which consists of d4, e4, d5 and e5) by a legal move in normal chess.
Question: what if we combine these two variations?
The rule would be that we start from a position in Chess960 and we keep the winning possibility of King of the Hill. To ask more precise sub-question:
- Are there some starting positions where the Whites or Black have a huge advantage? Or even worse, a forced win?
- If yes, could it be more pertinent to shift the "hill"? For example, by letting it to be b4, c4, b5 and c5).