Yes, you are right. I try to get the bigger image instead of an object.
You don't want to necessarily do anything to suppress the bigger picture either, you want to see one area always better
than the rest, while still being aware of the whole. If we try to see one small area only we loose a lot of vital information that puts an object in it's context and relative depth/distance. But I would call it more of a passive awareness. You're not actively trying to identify and make out detail in the surrounding periphery - that's really the job of the center of sight, the fovea.