There is shoulder index, and case head index.
Case head index references the cut as the over all length of the case.
Shoulder index sets the neck length using something similar to the shoulder headspace datum.
With each method, there are pros and cons in the results, as well as what the OP is highlighting and that is the level of effort in case handling.
TheOfficeT-Rex is correct in that the Henderson is a COAL or case head type, not a shoulder type. You place each case head into the collet style holder and clamp it in. You have to be careful to get the case head fully seated straight before you shove forward toward the pilot/cutter. If you are off, the case is sitting tilted and will need to be loosened and retightened in better alignment to the centerline of the cutter.
The best way to describe a shoulder type is to say it is like a powdered pencil sharpener where you shove it in and twist.
On that list above, there is a Frankfort Arsenal Platinum Case Prep Center with trimmer that is missing because it is a straight cut. It is an entry level tool, but a very good one for the money and is a shoulder index type that is fairly universal. Looks like this. It is not a three-way machine but a straight cut where you then still must move your work to the inside and outside chamfer tool before it is finished. Still pretty fast and and easier on the budget. YMMV
I have them all, but the Giraud is still the volume workhorse for me.
