A Sim is a Sim, and the real thing is the real thing.
It's not the same.
If it were, we could train young pilots in the Sim, call them Captains and release them to the line.
I am a TRE myself, but in the helicopter world.
The Sim is much different from the real helicopter.
Plus a TRE does not get any "flying time" - if you grab the controls as an examiner, it means the check pilot failed...
So you cold only claim your instructor time.. But then again:
Instructing is not flying time.
It means you are spending hours talking to somebody how to do it, instead of doing it all yourself over and over again.
Ask yourself:
Who would you hire:
A pilot with a fresh line check who just stepped from an aircraft?
Or someone who claims to be a TRE, but hasn't flown in almost 2 years?