Measurable output decreases off-axis. Just look at any of the Atkinson measurements of speakers in Stereophile. Because of numerous variables, each model will differ in how a tweeter output decreases.
Also, some speakers are actually designed to be listened to off-axis (e.g. pointed straight ahead, rather than toed in). Stand height and rake are other variables. Just look at the instructions for setting up Vandersteens correctly.