Good info there.
Is the 1/2 tip offset with the butt hand stationary and the bridge hand moving to the side or is it a parallel shift, where the butt and the tip is moved ti the side the same 1/2 tip?
Radius doesn't matter because the point is to use the reference to get to center cueball. At center cue ball the apex of the curve is in the same position regardless of diameter.
This is the actual offset for half tip at both a nickel and dime radius at 13mm.
You can clearly see that the difference in contact position is less than a mm at between both radii.
None of which has the slightest effect on the PERCEPTION of a half-tip offset from the shooter's perspective of being about four feet away and two feet above the cue ball.
The half-tip pivot is more of an eyes-body position offset that allows the shooter to swing into center ball locked in on the shot line as given by the preceding steps.
I understand that Duckie and some others would like to see a bunch of equations that I guess they could run through a say ok now I see how CTE works, sorry for all the hassle.
It's ALL about perception using objective criteria. The more objective input you have, edges, centers, quarters, half-tip, the more you can tie this together into a consistent method of aiming.
It is not and likely never will be any sort of formula with measured instructions. Ghost ball is not that either. Even though you can make up tons of pretty diagrams showing GB aiming you don't actually use any math when applying it. Your DTD method is better than GB in that sense.
No, in GB you start off with an objective concrete thing and try to imagine where the center of a nonexistent phantom ball is from the center of the concrete thing. In CTE you start out with the same concrete thing, use another concrete thing to establish a relationship, fine tune the relationship and ultimately zero in to the second concrete thing about a half-tip off center to guide you into bridge hand placement.
You don't have know whether that "half-tip" is 6.5mm off center or 6 or 7. Only that it's there to guide you.