Prior research has proposed the use of a Perception by Proxy framework that relies on human perception to support actions of autonomy. Given the importance of human perception, this framework highlights the need to understand how human cognitive abilities factor into the human-robot dynamic. The following paper uses a military reconnaissance task to examine how cognitive abilities interact with the gradual implementation of autonomy in a Perception by Proxy framework (i.e., autonomy to detect; autonomy to support rerouting) to predict three dimensions of sequential performance (i.e., speeded detection; target identification; rerouting). Results showed that, in addition to effects of autonomy and task setting, different individual abilities predicted unique aspects of performance. This highlights the need to broaden consideration of cognitive abilities in HRI.