The hood I remember my neighbor having was 30" wide, and had 4 sets of pushbuttons, in addition to the fan and light switches. After looking at the pics again (enlarging them), it was shaped like the second hood, rather than the first. I was over there the day it was installed (Summer 1972), and the hood and range are connected by a large metal-clad cable.
I thought it had Sensi-temp - I'll have to ask her about that. I may have that confused with the Sutton's, who got a GE built-in oven and cooktop (Harvest) that same Summer, from the same dealer.
One thing about the GE dealer where these people bought from is that they would go to just about any length to get what the customer wanted. If my neighbors did have the Sensi-temp, the dealer may well have done whatever was necessary to make that happen. The lead salesman was a friend of my dad, and they had a lot of clout with GE. Even though the dealer was located in a small town, they were one of GE's largest dealers in Ohio, and had lots of builder accounts.