That's the word- "Spider". Patent 3,050,852 covers the redesigned version introduced in the 60's which incorporated the end caps into the actual mechanism.On the Original Toggle Patent (2,848,806) the Door Actuator is #36 they call it a "Spider". In the Bottom Dial Patent (2,952,911) they also call it a "Spider". So Gillette is no help on the but, they do call it a "Positioning Bar" and even label it as "B" in the picture. So that wins the day for me.
Speaking of patents... Any possibility of pulling together a list from the various Adjustable packages?
So far, I've seen:
US2848806A— Quick-opening safety razor having adjustable blade edge exposure
US2848807A— Safety razor with adjustable blade setting
US2952911A— Safety razor with adjustable blade setting
US3050852A— Safety razor spider
US3209454A— Safety razor with buttress thread
The last one covers improvements in the Slim and SA.