Ed:
I think if you only had a couple architects as Tom Paul says then you could very well see diverging routings. If on the other hand, you had several architects, you would likely yield 'relatively' similar results--statistics, etc....with basically the general flow across the landscape, but with what could be very different characteristics to rhythm, diversity of par and variety of shot type, etc.
This presumes that they only have the ability to use/study a good topo plan. If, they could walk the site, then I believe depending on the actual architects you worked with, the routings would very quite different. Some would study the features more closely and use them to make the best (natural) routing and others would not be so interested or concerned with them and focus more on the broad brush generalities--a mistake IMO. Some still may have other priorities in mind as well as how influential/out spoken the client was in the design process and if they have certain goals & objectives in mind they wish the architect to strongly consider.
The better architect works very hard to achieve a total experience as the round unfolds. Sounds straightforward maybe, but I think fewer architects than you believe REALLY look close at. Taking into consideration countless subtle nuances such as off site borrowed views, the sequencing of tough holes and quiet ones, changes in vegetation and how this can influence the memorability of the game. I also think it would differ greatly depending whether or not the architect must start and finish with 1, 9, 10 and 18 near the clubhouse. If this is a parameter, then more routings would be similar. If this isn't a restriction, the routings would be more random and probably better.
I'll bet Forrest R. would also have some good things to add...I believe he did write a decent book on this subject