I agree with the above statement, but not really.
Most places that don't interview all the rotators, don't interview people becaue they did not like them or they did not work hard enough. They simply don't interview all the rotators, becaue they don't have enough room to interview all of them. And they want to interview other well qualified applicants (super stars) that did not necessarily rotate there. So it comes down to: they liked the other rotator just a slight bit more than this one. There is no science, it is all subjective. Maybe if you walk the other way one day and meet/don't meet a certain resident/attending, say/don't say a certain word/phrase, it would be all different for you.
But clearly, if you spend a month there and even if someone liked you a little less than that other guy, come the interview day, you still have a chance to impress the heck out of everyone on that pannel, even people that were not that impressed with you initially. Interview performance goes a long way.
In addition to that. People that rotate and then interview statistically are ranked much higher than everybody else. So after a rotation and an interview you have about 1/3 chance of matching at a particular program.
So yes, it does matter.
Even if you did not impress that one person that one time. If a program interviews all the rotators, you have a lot more chance of matching at that program should you come back for an interview.
It is usually way more expensive to spend a month rotating somewhere than just flying for an interview.
I agree that you should rotate at place you really want to go, but this is so improbable to predict. You might love the place before you go there and then hate it after a rotation, and vise versa.
But anyways. Go to a place you "really really want to go" and rotate there. But if you have a choice between 2 places or 3 places and both/all are equally attractive. Then go to a place that interviews ALL rotators.
Email their rotation coordinator and simply ask before you apply.
Why waiste precious 1 month and about 1,000-2,000 knowing you might not get an interview there. You rotate not just for experience. You rotate to get your foot in the door, and to hopefully get in, come the match day.