Natta started researching (as professor) in 1933 and he was appointed director in 1936 (even a genius, usually, needs some time before being promoted). It's first important research was in 1938. Even in the game a tech team needs some time to perform a research. So this is consistent with the games' rules.
Regarding the history or facts, in my humble opinion, if you don't take into account them the only ground left is your opinion and, as I said before, on opinions I can't help.
Last but not least usually I'm testing my proposal in order to avoid any game unbalances. Again I invite everybody in doing the same.
EDIT
I made a mistake so I have to apologize about it. Natta started researching and teaching in 1927. He become professor in
1933 and he was appointed
director the same year.
"Giulio Natta was born at Imperia on February 26, 1903. He graduated in Chemical Engineering at the Polytechnic of Milan in 1924 and passed the examinations entitling him to teach there in 1927. In 1933 he was established on the staff of Pavia University as a full professor and at the same time was appointed director of the Institute of General Chemistry at that University"
From
http://nobelprize.org/nobel_prizes/chemistry/laureates/1963/natta-bio.html