If you move the VTA for the difference in LP thickness, the tangent will remain the same
That is true, but if you are adjusting VTA either during initial set up or because of cutter head angle differences between recordings then the stylus will move off tangent.
I'm sure you must be aware that the cutting angles set on the lathes used to cut records varied wildly.
With regards to the Eminent Technology the arm tube is fixed to the spindle, and the spindle runs through a "fixed" air bearing. To adjust VTA the whole air bearing assembly can be raised and lowered. When ET the bearing is raised or lowered it moves in an arc formed by the whole bearing rotating about the stylus point, ensuring that tangent remains constant irrespective of how you set the VTA.
So with your Holbo arm when you raise and lower the bearing it goes straight up and down vertically. With the Eminent Technology arm the bearing moves in an arc so the stylus always remains at the tangent, even if you change VTA on the same record.
Notwithstanding that, you might want to have a think about whether you should set up the stylus slightly forward of tangent - say 0.5mm. Why ?
Well think of king pins and preloading on a car, no preload and your steering wobbles its way along the road. By putting a very small load on the stylus ( using very small overhang ) you may stabilise the stylus in the groove.
I would be interested in your thoughts on this.

