For me it is merely coincidental that older. cheaper, much more frugal and simple aircraft that are basic with vintage like charm and handle delightfully just happen to have a dinky little wheel at the back. Helps the overall asthetics too methinks.
Disadvantages, apart from the theoretical (as in I only ever seem to fly VFR and avoiding built up areas is hardly difficult) limitations of PFA types (our is, not all are!), I find crosswinds much more difficult. I find most tricycle gear types pretty straight forward and certainly the ones where I have had the opportinity to land in excess of the max demo xwind a non-event. The max demo xwind on our taildragger is 10kts, I have found 8kts a handful. I am pretty low houred at the taildragger malarkey though.