Yes, it does say PKRS in the corner. That is why I got all freaked out when I saw something there(refrance to story). I know that much but I can't get it to jump to any of my other pkemon.
Now that you point it out, I did notice that the nurse never said anything about it after I traded it over or when I had one in my party. That may have something to do with the fact that I didn't trade directly with any version. I transferred it from Pokemon Box after I found the stones.
Also on Colluseum, I believe that since it doesn't keep track of time, you never lose pokerus even if the pokemon is in your party. I intend to find out if this is also true for FR and LG.