Cold start problems with C4

Hello, I’ve been driving a C4 coupé for a year now and have always had problems with the cold engine, i.e. after a long service life. Problems mean that the whole car is unsteady “waxing” in idle mode and the engine “rupts” or stutters when driving under 3000 tours and when I then give gas, it takes a very long time no gas. I kick into the void. Only after a few seconds stutters the car accelerates and when I have turned over 3000 tours everything fits. It’s just very annoying, if you want to drive out of the parking gap, but the car does not accelerate I have been in the factory saddle many times and he finds no mistake, since my vehicle computer has not documented any errors (allegedly). He just always thinks that this is a problem that occurs more strongly with the C3 and I can only wait for a new software from Citroen. Do you have any problems like this, or does the mechanic mislead me? LG Michael Michael