Blackout is mostly a function of exit pupil, which is directly related to objective lens size and magnification. The larger the objective lens, the larger the exit pupil, and thus the less quick blackout occurs, ceteris paribus, and vice versa. The lower the magnification, the larger the exit pupil, and thus the less quick blackout occurs with eye movement, ceteris paribus, and vice versa.
Exit pupil in mm = Objective lens size in mm divided by magnification. You want an exit pupil as large as possible, up to 5 or 6mm or so. I like a bare minimum of around 1.5-1.8 even on the highest magnification.
So, yes, you do spend more to get the larger objective lens scopes, with a set/given magnification that you like.
Scope/glass quality also has something to do blackout, but not as much as the strict exit pupil size calculation.