Don't they give you 3 TTP here at Pinnacle? Even if you screw up your engine failure, that should only be one TTP. I keep hearing all these rumors about how pilots at Pinnacle such such as "Pink slip xxx" busting a PC for something very small, but when I was in the sim (as a non-fly) with him giving a Type ride I thought he was more than fair. There has to be more to the this story.
To answer your question, I can't say what it will do to your chance of getting on with the majors, but if it was me, I would just be honest about it and try not to blame someone else.
This has nothing to do with your question, but if you consider the company you work for (Pinnacle) a bottom feeder, why don't you just put your 2 weeks notice in. If that's how you feel about the company you work for. IMO it sounds like you wanted to come here and wanted the quick upgrade and that didn't happen, you are ****ed off at the company, later on busted a PC and try to blame someone else but yourself.