I've managed to find a number of mentions of the TV static thing, but none from particularly reputable sources. Figures range from 1 in 100 specks being due to CBR, to 1/3 or 1/4; which doesn't add to my confidence in the sources...
I've managed to gather that in the '60s, Arno Penzias and Robert Wilson were using an antenna of a similar wavelength to TV signals when they discovered CBR (in the form of ever-present noise). It makes a more interesting story for the average person (or kid) to say they were watching TV and trying to eliminate static, so I can see why the story might spread.
As for TV static itself, I don't know enough about CBR to hypothesize about whether it might cause noticeable interference.