Yes I think it is the same structure. We also called it the barbeque area in the late 50’ and 1960 before it was demolished. When I was there it had a concrete floor and half of the outer walls had long been removed. There was a brick barbeque against the west wall of the south building. It had a tile roof and the open area of both structures faced east. There were high windows facing west and north. The south facing was mostly all windows. I remember we did have a few really fun barbeques there. There was out door type picnic tables in the north structure where a lot of us liked to congregate on weekends and especially on hot summer days. It was always cooler there and the windows would open all the way. We would play card games and goof-off day there.
I attached a screen-shot from Tom Luque youtobe that I think is a picture of the structure.