Michael:
Once in a blue moon, it's me.
From what I've seen and heard, Nicklaus and Fazio are pretty different in terms of how they put time into their projects.
Jack is contractually obligated to spend less time on his overseas projects, but for all the "signature" designs in the USA, I think he tries to spend approximately equal time on all of them -- partly because some contracts specify a certain number of days, but partly because he is very intent on the client getting what they pay for in terms of his personal time.
Fazio seems to understand that certain clients don't care so much about how much time he spends personally on their site, and others want him more involved, and seems to feel more free to divide his time accordingly.
As to who really does the work, both of them have deep organizations with a lot of talent, and that makes it hard to divide up the responsibility for their success. Plus, there are generally as many versions of "who did what" as there are people on a job.