During Pain's fight with Jiraiya, he was also able to see Jiraiya activate a search barrier when he himself was invisible, which made him turn to a fully offensive summon. I think it's pretty established that the Rinnegan can see and understand all techniques. He also detected that Jiraiya was undergoing a change when he was charging up for Sage Mode. (and it I doubt he came to that conclusion solely from his toad-features popping up).
As for the comments about the new guy being able to summon things, I think that fact itself highly suggests that Pain himself can get new bodies, but those bodies still perform the same abilities. Regardless of the body, that particular "guy" performs summons.
It's a bit hard to definitively back this up since we haven't seen too many moves from anybody yet, but the above could be extrapolated to suggest that the Six Paths are six "schools", or six "styles" of techniques ninjas can use.
We've seen summoning, absorbing, genjutsu (the guy who peeks into your mind, then takes your soul)....... the rocket fellow may even be "projectiles".