Paul wrote:So my thought is, are cars with more umph preferred to advanced driving groups? Is this correct to think this?
Not really, it's about the driving, not the car. Having said that, to demonstrate you are an advanced driver you are generally expected to drive up to the speed limit where you can do so safely and smoothly; but I once had an associate who came in a Land Rover which he did not like to push over 60, and he had no problem passing his advanced test.
You mention overtaking. The road safety organisations IAM and RospaADAR do not expect you to plan an overtake unless you can reasonably expect to complete it safely within the speed limit. As a result overtaking anything faster than a bicycle or tractor does not form a significant part of preparing for an advanced test.