I don't think you will ever see a tidy Pitts landing ...
I see quite a few and most of my landings in a Pitts I claim to be tidy as well. Like Jack, I only 3 point them (and that is all I teach in the Pitts) but I know a handful of people who do tidy wheelers in them.
I instruct in a Decathlon (spring Al gear so very easy to bounce) and I find that many inexperienced people have enough trouble learning and mastering just one new skill so I usually teach just 3 pointers then do wheelers with them after they have some solo time (exception being those moving onto other types in which case they get both).
My colleague here insists on doing both 3 pointers and wheelers initially for all - on occasion when I have flown with these people a little while later I find that they are a long way short of mastering wheelers.