I would say that it differs greatly, as I find that each mushroom species also differs. Well, maybe greatly isn't the best choice of word because it wouldn't be anything of a surprise if you are used to mushroom tripping, but for me, it would lack something.
Mushrooms have plenty of different Tryptamines in them, two of which are most responsible for their psychoactive effects (Psilocybin and Psilocin), two of which in some species of mushrooms have a background effect (Norbaeocystin and Baeocystin), and many others that may cause small variances in effect as well. These minor differences are normally not noticeable to the everyday tripper, but to someone that really gets into it, they are. I guess it is much like wine tasting. One person can taste 10 different merlot wines and not taste any difference, and another person can do the same and practically write poems describing the taste of each.
What I am getting at is that Psilocybin is one chemical present in mushrooms. In fact, if you are used to eating dried mushrooms, you may not notice any difference, and if you do, it may quite possibly be psychological. The process of drying mushrooms destroys the Psilocin and probably does the same to some of the other chemicals.
However, just because something is psychological doesn't mean it isn't real either. There is a huge difference for me when I go out and spend the day picking mushrooms than when I just acquire them from friends or dealers. I imagine people that grow mushrooms would notice a difference as well. There would even be a bigger difference when considering taking the pure chemical even if you had a certain amount of mushrooms you picked and a capsule containing every chemical and amount of that chemical in it that the mushrooms you picked do. The more work you put into it, the more you will enjoy it, especially if you enjoyed putting the work into it.