I really struggle to believe that any chief pilot, except maybe in a dodgy GA operation (and that is a struggle too), would give someone a tune up for going around in windshear or in the case of a runway incursion.
In this day of QAR's and data recorded on the aeroplane and recorded ATC transmissions it would be pretty easy to determine the truth.
There are always three sides to a story. Your side, their side and the truth (which usually lies somewhere in between).
I know of a number of pilots that will tell everybody that will listen that the "company" was going to sack them for standards issues but the "Union" saved them. I know for a fact that termination was never considered let alone discussed. The pilots concerned will never admit to the lengths the company and training department went to to try and get them through, and to this day actively bag out the managers, trainers and check pilots involved, so I don't get too wound up when people howl with indignation about being "reamed" or "threatened". They won't, to this day, admit that the same trainers and checkers that were incompetent and biased and yadda yadda yadda managed to get hundreds of other pilots through with no problems, and perhaps their (the failed candidate) performance contributed in some small way to the outcome.
That all said, I am sure they believe that they were reamed by the chief pilot for those issues, but suggest that the message transmitted is sometimes not the message that is received. If an email is used then it is even harder as intent and tone are notoriously hard to impart on emails.