The screen would get way too crowded (at least in the Avery Realm) All those Pets would probably slow down the program when it tries to keep all those pets moving with you along with their little movements (ie Cats with tails and more). So I don't think it would be a good idea.
Only if KI gets some sort of kickback from the various monitor and keyboard manufacturers, because that way lies madness. Bunches of randomly moving pets would drive the pirates trying to use their crews to screaming fits of frustration, leading to pounding of keyboards, throwing of mice, and punching of monitors.
No. Bad idea, even if being able to equip a bunch of pets with different grants would be nice.