Is there a difference between "move for move" and "move after move"?

On paper these two look the same to me but when I try to use them in the same context one always seems to convey a different meaning to the other (could just be me). Here are some examples to illustrate this:

Example 1

• The chess player matched her move for move.
• The chess player matched her move after move.

Example 2

• Move for move, the older opponent was clearly the more skilled of
  the two.
• Move after move, the older opponent was clearly the more skilled of
  the two.

I can’t quite put my finger on it, but I am thinking that perhaps "move for move" indicates one opponent going and then the other going, while "move after move" is the same opponent going again and again. Is that on the right track or am I missing something here?