What if Axis generals were switched with their Allied counterparts?

For example, take the case of Erwin Rommel. Would he be still as effective as an Allied general? Or Patton if he was a German general?

Personally, I'd think many of the gifted German generals or leaders would've gotten better if they were Allied commanders. Except for Goring.

Monty or Ike would've shriveled up if they were on the German side. However, I get the feeling that Macarthur would still perform the same, whether he's on the Allied or Axis side. Patton would, too. These two are good on promoting themselves at (I hate saying this) the expense of others. With the very chaotic and cross purposes dealings in the German heirarchy, these two would've thrived.

What do you guys think?