Sorry I wasn't clear. When I wrote "rid them of the movements that caused impingement," by movements I wasn't referring to exercises so much as to form. For example, most people perform lateral raises in a manner that leads inevitably to impingement syndrome. So in addition to laying off laterals for a while, upon resuming them such an individual needs to modify their lateral-raise movement pattern in order to prevent impingement recurrence. Similar adjustments must be made to all movements that contribute to impingement.
So yes, by all means lay off the exercises that produce impingement pain for a while. But when you feel able to do them again, look into developing a more shoulder-friendly technique. In essence, this involves modifying the rotational status of the humerus to allow for greater space between the rotator cuff (specifically, the supraspinatus tendon and related bursa) and the underside of the acromion. (In a nutshell: Internal rotation bad; external rotation good.)