Does the plane angle have influence on the lie angle? I.e. if want to set up close to TSP (for zero shift) than a steeper lie angle, elbow plane then flatter angle.
Yes. But perhaps not as much as one would believe. Where is your hands at impact and where do you want to have them? Then you have to account for the shaft flex. Stiffer shafts requires flatter lie angles because they will flatten less when CF is pulling the clubhead.
Have a look for instance at Fowlers impact vs Hogan's impact. They are both really flat after transition. The biggest difference is that Fowler lets CF throw everything on plane through impact, so there's an almost straight line from his Left shoulders through his hands and to the sweet spot. While Hogan's holds his form much longer and goes through impact with lower hands. Hogan needs a lot flatter clubs than Fowler. Or perhaps what we see in Fowler is adaption to modern lie angles?
In today's world of professional fitters, many specialize with certain companies. For example, I am a certified fitter for both Titleist and Ping. If you were in my area, I would be very comfortable custom fitting anybody with either. I would not feel comfortable fitting someone with Mizuno, as all companies specs are a little different, and I have no experience with them. I also wouldn't have Mizuno demos for you, and you would not be able to hit the various flavors.
I think most fitters are the same way. Someone who specializes in Mizuno may not be also certified with Titleist.
As others have mentioned, the most important part of buying new irons is being properly fit. If you have decided on Mizuno, a great choice, please be sure to find a fitter in your area who specializes with Mizuno equipment. You will be happy you did, and they will set you up with clubs that you will have a ton of confidence with.
Kevin
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I could be wrong. I have been before, and will be again.