First fullmove number is 2:
[FEN "rnbqkbnr/pppp1ppp/8/4p3/4P3/8/PPPP1PPP/RNBQKBNR w KQkq - 0 2"]
2. Nf3
First fullmove number is 10:
[FEN "rnbqkbnr/pppp1ppp/8/4p3/4P3/8/PPPP1PPP/RNBQKBNR w KQkq - 0 10"]
10. Nf3
AFAICT, both of these should show the replayer, but only the former does.