Of course there's a difference! Specifically: when you have access to more parameters, you can more flexibly and transparently eliminate different kinds of noise than you can with a smaller, more limited set of controls. Think of it like EQ: A 4 band parametric can do much, much more than a 4 band graphic. The difference is similar.
OTOH the regular version can be better if you don't understand the parameters available in the advanced version. If you don't know what the controls mean/do, you're more likely to make a mess of things than you might with a simpler tool.
The bottom line here: the versions reflect different sorts of users, more than DSP. Advanced users will recognize and use the extra parameters, casual users will not (or do damage with tools they don't fully understand). I suggest trying both demo versions and see what feels best for you. Advanced users hit the wall pretty quickly with the regular version, while regular users will be stumped by most of the controls on the advanced version. If you see things you don't get, and you don't do this for a living, the regular version might be ideal.
-d-