Very flattered Monsieur but, oh the responsibility!
I interpreted your original post as "will the old chain damage the new cassette", to which my answer is no.
My reasoning being that your chain, at 500 miles, isn't anywhere near worn enough to damage a cassette or chainrings. You can expect at least another 500 miles from it.
However, that's not to say it isn't desirable or more convenient to have one chain per wheel. You don't say why you've swapped wheels or if/how often you will be swapping back and forth.
It obviously won't cause any harm to have a second chain and, as all chains have to be replaced eventually, it's not as if you are buying something you won't get full use of; so if it puts your mind at rest get another chain, but you don't need to.