Max,
I understood what you are saying and your further clarification.
However, the original post said (& I edit for clarity):
"...the problem i have is there is a lot turbo delay some times or the push from the engine is not good for 200 bhp. I drive another one a friend of mine and the difference is very high".
Now, the term 'adaptation' was used in the subsequent discussion and, to me, it just didn't sound like the right explanation for the symptoms as described, especially with both my and others experiences reported here on perceived performance. I've just exchanged a 32000 mile THP 200 - which I had from new - for a brand new RCZ R which, in the two days I've had it has dramatically more power than the 'well bedded in' THP 200. I never perceived my old car as getting more responsive, although I can quite see there would be a small improvement over time (a few months).
I would agree that efficiency goes up as an engine fresh from the factory cumulates mileage. However, in my experience, this manifests itself as increased mpg, not increased power or dynamic performance or, at least not dramatically noticeable and certainly not intermittent as the 'some times' in the original post suggested. Heck, I can't say I noticed a huge change in anything much when I had my THP200 re-mapped. Perhaps if I'd taken it on a track day before and after I might have noticed but not in everyday UK road driving. To me, that suggests performance limits are set by other things (compression ratio, inertia of the moving parts, limits on turbo boost pressure, engine revs. & valve timing etc.) and that the reduction in friction that occurs allows that performance to be released more efficiently
Now, while I will confess to having gained an Honours Degree in Applied Physics and 30 years experience in the aerospace industry, I would admit that I don't know everything and that someone else - working in the automotive industry, designing engine management systems, say - would know a lot more than me about the detailed design features and strategies employed within modern engine systems and how they might pertain to the situation described originally.
It's not that I don't 'trust' you (your word), it's simply that my knowledge an experience don't lead me to conclude that simple bedding in is the explanation for the reported problem.
If you have some more definitive information and descriptions/explanations, please enlighten us. There are many here - myself included - who would be interested to learn more about the technologies built into their cars.