Training every day is to keep such "developed" skills sharp - if motor skills weren't developed at the most rapid rate when a person is growing as a child and teenager they are unlikely to be learned at that stage.
Unless of course the training program is specifically designed to develop and refine new motor skills? Like when an adult decides to learn to juggle, or play a musical instrument? I'll give you that children are more
receptive to learning motor skills, but there is nothing to stop adults developing new motor skills: particularly adults who are being paid to do just that, and are doing so in an environment entirely geared up to their so doing. Like a football club, with the support of football coaches.
As stated by Carlos Alberto, Trevor Brooking, Fabio Capello - English players have typically been thrust into the game without mastering the correct techniques to kill a ball etc, its all about physicallity and once they have reached 11 years of age they are compensating for such lack of finess by hoofing, jumping, running... Lukaku is very much in that bracket, he has never had to rely on close control because he was always far bigger and stronger than his peers... until now.
Except he didn't grow up in the english game. Alberto, Brooking and Capello were talking about YOUTH coaching in this country.
Your suggestion that Lukaku cannot, under the guidance of any coaching staff at any club, further develop his fine motor skills is simply incorrect. It is therefore entirely invalid to suggest that at 21 years old he is as good as he's ever going to be.
How old is Barkley, btw?