Certainly it was Carol (and not David) who arranged for the Reliant to begin a search for a suitable planet. The sequence of event leading to the deaths and destruction orginated with her determinating that genesis was ready.
Could David have slipped a few hundred thousand lines of code into the Genesis program? While a possibly, as project head Carol really should have seen the protomatter solution that David came up with.
Didn't she at least wonder how
he fixed the problem that the protomatter was the solution for?