I have consulted those who understand this stuff and quote:
"Virtually all receivers employ what is know as the "superheterodyne" (superhet) design. The incoming signal is mixed with a very low power locally created signal to produce an intermediate frequency where most of the signal amplification takes place. This locally created signal is known as the "local oscillator" and it is, in effect, an extremely low power transmitter.
Dongles like the one we use actually convert down to baseband where digital signal processing (DSP) is used to render the required signals. The superhet concept still applies, so in theory, at least, it is possible for interference from the local oscillator to occur. It is, however, an extremely improbable effect. It would only occur in the event of a fairly significant malfunction in the dongle's electronics, as the local oscillator should not be tuned to anywhere near any of the frequencies that we use. I don't discount it by any means but there are other places I'd be looking first".