What if we have a position like this...a rook pawn with a bishop that could control the destination square?
1.Kf2
Kf8
2.Kf3
Kg7
3.h4
Kh7
4.h5
Kg7
5.Be5+
Kg8
6.Kf4
Kh7
7.Kg5
Kg8
8.Kf6
Kh7
9.Bf4
Kg8
10.h6
Kh7
11.Kf7
Kh8
12.Kg6
Kg8
13.h7+
Now, he must give way! Or else...
13...Kf8
[13...Kh8
14.Be5#
checkmate! This Bishop that could control the promoting square will deside the issue..]
14.Kf6
Ke8
15.Ke6
Kd8
16.h8Q#
checkmate! Or even a rook will do! 1-0