I had a situation recently when I had two methods, not implementing the same member of an interface, which had the same parameter list. Now, I didn't expect that doing an "Extract Class..." would update the second method, and in fact, it did not.
However, when I did the "Extract Class..." on the second method, I wanted to be able to use the class created by the first "Extract Class...". There was no option to do this.
I suggest that such an option be created. If an exactly-appropriate class already exists, permit it to be used.
If there is only a _similar_ class, then I don't know _what_ you should do! For instance, if method 1 has parameters a-f, and method 2 has parameters a-h, it would be _nice_ if you could first create one class with a-f, then, on the second method, add g and h.