No, "cross-domain" means that I can optimize across instrumental domains. Like, I can figure out how to go through water, air, or space if that's the fastest way to my destination, I am not limited to land like a ground sloth.

Measured intelligence shouldn't shift if you become pickier - if you could previously hit a point such that only 1/1000th of the space was more preferred than it, we'd still expect you to hit around that narrow a volume of the space given your intelligence even if you claimed afterward that a point like that only corresponded to 0.25 utility on your 0-1 scale instead of 0.75 utility due to being pickier ([expected] utilities sloping more sharply downward with increasing distance from the optimum).