Yes, that is correct. The link below is to a number of files related to the brake light switch and how the brake light circuits are tied not only the bulbs but to the Hill Decent Control, (HDC), the ABS, and then the tranny as well as the cruise control - it never ends.
www.disco3.co.uk
I see the Stop Light Circuit file near the bottom has over 2200 views with over seven thousand on one of the other files within the link.
DISCO3.CO.UK Photo Gallery - Brake Light Switch Replacement
Dedicated to Discovery 3 and LR3, Discovery 4 and LR4 Owners and Enthusiasts. Totally free to join - message boards, galleries, off road events, social meetings.

I see the Stop Light Circuit file near the bottom has over 2200 views with over seven thousand on one of the other files within the link.