no mate, that's a load of crap.. mapped or not, it shouldn't act up like that! Unless its a bad map! Has the car done this since you brought it?
I asked if it was behaving like this normally or pressing on, as when you first start the car (morning or after work) the car will enter warm up mode (so extra fuel) warm up mode lasts until around 70 degrees ish on the temp gauge. If you're starting the car and driving off trying to give it a little then it will hold back to protect various parts of the engine and turbo etc. once warmed up it will behave correctly.
MAF, Coolant sensor, DV and PCV can usually be the culprit to these types of issues, along with other things. Have you checked the Cam Follower recently? A throttle body clean and alignment wouldn't hurt either.
since your last message, you said about seeing how it goes in the morning.. how did it go? and yes please, let us know how you get on with Live readings assuming its not sorted.
finally: next time you come out to your cold engine (morning or after work) disconnect your Intake Air Temperature sensor and drive off, see what happens. (just disconnect the electrical plug and leave it hanging)
keep us posted mate.