I've just never seen anything like that wall in normal residential construction.
In old downtown construction with brick walls (3 bricks wide with no framing),
We would frame up a wall because the old brick was soft.
If I were you, I'd frame it just like you said in your last post.
You cold mouse and pest-proof the floor to wall connection and insulate with whatever you wanted.
Reflectix and other foil insulation (I think), is a radiant barrier and not a big insulator.
Don't those bricks get awfully hot in the summer?
Bricks absorb so much heat and hold it for so long.
If I remember correctly, one of the first things they teach you in HVAC classes is this.
The Egyptians used to roll a huge rock out into the sun early in the morning,
roll it back in just before dark.
The heat absorbed would then keep the house warm all night long.
Bricks work the same way, insulation is necessary between the brick and the interior walls.
Anyway, Yep, I'd frame it, insulate it, and make sure the vapor barrier is between the framing and the living space.