I'm surprised he couldn't say more about general cognition... but no, I think he did mean an OT. It may depend on jurisdiction, but I think that's part of the OT scope of practice in most places (overlapping with psychologists and psychiatrists). The SLP scope of practice regarding cognition is a bit ill-defined. I do screen memory, orientation, visual and auditory perception and reasoning skills, since they all relate to communication, but I'm not allowed to make general diagnostic statements about cognition. Instead, I refer to OT (for adult clients) or psych (for pediatric clients) for a full assessment. I am, however, allowed to treat those sorts of problems, since they directly impact on communication. Fuzzy boundaries! Glad I have good relationships with the OTs where I work.
Are you getting OT services? The ideal situation would be to find a place where you could get speech, OT and PT in the same clinic. Failing that, give them all each other's phone numbers so that they can try and coordinate their goals.