I notice when running my scanner near the laptop with RB running, I seem to be getting a bit of radio interference through my scanner.
ANAD does a really good job of decoding the data, you can feed all sorts of bad/overloaded signals into it and it still decodes the data. I have my scanner connected to my TV antenna and there is a bit of hum introduced by the masthead amp, but it doesn't faze ANRB.
I guess if the interference was close to the signaling frequencies it might impact it, but I haven't noticed any problems.
The only time I had a problem was when I moved to the ICOM IC-RX7. IT has far too many settings on it and the default AM decoding is with an AF filter turned on - presumably ICOM think only humans are going to listen to AM. Anyway turning the filter off fixed that for me.