[SketchySeaBeast]

That first and last articles are pointing out evidence that maybe some people aren't 100% immune after vaccination - it doesn't point towards the immune and vaccinated as carriers. The CDC article is saying they found viral RNA in urine. The part I found most interesting:

"Since a single cycle of viral replication would be expected to take 17 to 24 h, it is unlikely that the RT-PCR detected the progeny of virus replicating in the urinary tract. Rather, this observation suggests that shortly after vaccination the input virus or viral antigen, in the form of nucleocapsids, is deposited directly into the bladder via interstitial fluid."

Looks like we're just peeing out the vaccine. I'm not educated enough to know if that's "live" RNA or not, but it makes sense it would be there, as it was introduced in the vaccine itself.