Venters idea was that you could do the same with small chunks of DNA, if you approached it as a computational problem and used computers to try/evaluate/reject the millions of ways the pieces could be fit together. So he recruited mathematicians, computer scientists etc and got them to work on the problem. He speeded the project up massively by making the biology bits simpler (smaller pieces of DNA) and shifting the effort to the computational problem.
So he made a big difference. And his insight that it was a computational problem is kindof obvious now but it wasn't obvious 25 years ago.