While your examples could be simple aggressive behavior in cat culture, they are amusing.
However, cats indeed use symbolic reasoning. Mine, a mature shelter animal when I got her, loved to play with a boot lace tied off with feathers which I "flew" near her until she realiized it was only a toy controlled by me, at which time she lost interest and did not play anymore.
However, when she wants my company, she fetches the feathered lace and brings it to me. She does not want to play with it -- she uses it as a symbol to say she wants some face time at the places she hangs out in (the porch or the back room with the sunny exposure.)
Am I surprised? At first I was, but it looks like Noam Chomsky was right -- we (many creatures) are "hard-wired" for language.