Don’t and Do Not

Is it confirmation of a solve?

I believe it just may be! Allow me to explain.

“Don’t be influenced by those who say they know, but don’t”

Forrest used contractions at the beginning and ending of this quote and he, had to have known searches would question the use of the word “don’t” being used at the start and end of a sentence. I think he is telling a searcher that he/she is correct. Take a look below at the proper and improper use of a contraction and you will see Forrest’s quote is correct 

So, is Forrest really saying sumbuddy has the correct start and finish?