Statement lies: there are test cases when crosses needs two moves to win.

That pisses me off, because it's always a great challange to understand the right meaning of a statement, but this one just doesn't give you a chance to do that.

I think, there is no cases when crosses win in two moves

There are at least 3 cases that I found in the discussions:
#X#
#OX
XOO

#X#
O#O
XOX

X##
O#X
XOO