Perhaps I am misunderstanding this, but if an area requires a "limited entry permit" I can only assume this is to reduce impact on said area. It seems to me that this ranger's directive to you effectively doubled your impact on this area. Since you had already passed through, it seems like a more reasonable approach would have been to issue you a friendly warning and request that you exit via an alternate route which would have not only limited impact, but left you with a much more positive feeling about the encounter.
Instead, you were essentially asked to walk through the limited access area a second time and add additional impact to an adjacent area with the only perceivable benefit to anyone being he/she (presumably) felt a bit better after exerting some control over you.
I'm not a ranger-basher or anything, the majority I have met have been fine. I'm just feeling like that's not how the job is meant to be done....
Way to do it despite the extra ten though