Dan.....I know of at least four who've switched sides and never again have had any experience with TP. Like you, they have to account visually for the angle of the arrow due to the new location of their dominant eye. This new location forces the archer to aim after achieving full anchor as there's no natural alignment of eye over the arrow, and an angle/distance adjustment must be mentally calculated for each shot.
I'm merely a 3 year sufferer of TP who has analyzed the physical/mental aspects very seriously, yet avoided switching sides as I'm stubborn and have almost worked through it. I will say this with respect to a shot sequence and TP. If you already have TP, a shot sequence is way slower than the "speed of sight". To work through TP requires a "one step at a time" approach. The common denominator for people who suffer from the "early release" version of TP is that when the site picture appears correct in their minds eye, they open their fingers. Again, "open their fingers". This is not how it's supposed to be done, and is one of the root physical responses that many have to overcome. This is why I consider a clicker to be the worst thing for TP.....when an archer hears/feels that click....they fling open their fingers and generally pluck the string. Once the clicker is removed from the bow....that archer still has to deal with this reaction to visual cues.
Review Arne's videos. At anchor he uses back tension to pull his elbow around....NEVER opening his fingers. It's as if (his own words to me a few years ago) the string slips through the bones. Same thing Rod Jenkins teaches. Subconsciously your fingers do relax at a point, but you are not consciously opening them on cue with respect to the sight picture. You are in effect "running the shot" with total control.