As to the current variant: it seems to me that the Queen can produce new offspring at an alarmingly large rate, by keeping her next to the King, and give birth every turn. This might be so profitable that trying anything else becomes counter-productive, and the only viable strategy would be to accumulate Pawns until they completely fill the board, unless the opponent offers you something to capture.
To make this variant interesting it might be needed to slow down the maximum rate of reproduction a bit. E.g. requiring a turn to make a Queen adjacent to the King pregnant or to resolve a pregnancy, and only allow the latter to be done without moving the Queen, and when not adjacent to the King. Than the reproduction loop becomes: move next to King - get pregnant - move away - give birth - move back. So you would produce a new Pawn only every 4 turns. This is probably still fewer turns than you would need to gain a Pawn by ordinary play, so it might not even be enough to cure the problem.
Aslo here it is not clarified whether a newly born Pawn would have a double step, and if so, where.
I see. Too bad.
As to the current variant: it seems to me that the Queen can produce new offspring at an alarmingly large rate, by keeping her next to the King, and give birth every turn. This might be so profitable that trying anything else becomes counter-productive, and the only viable strategy would be to accumulate Pawns until they completely fill the board, unless the opponent offers you something to capture.
To make this variant interesting it might be needed to slow down the maximum rate of reproduction a bit. E.g. requiring a turn to make a Queen adjacent to the King pregnant or to resolve a pregnancy, and only allow the latter to be done without moving the Queen, and when not adjacent to the King. Than the reproduction loop becomes: move next to King - get pregnant - move away - give birth - move back. So you would produce a new Pawn only every 4 turns. This is probably still fewer turns than you would need to gain a Pawn by ordinary play, so it might not even be enough to cure the problem.
Aslo here it is not clarified whether a newly born Pawn would have a double step, and if so, where.