Some confusion here: there can be enough radiated power from a local oscillator (LO) in a superheterodyne receiver to be detectable with appropriate equipment nearby, but the power in the intermediate-frequency (IF) amplifiers is not likely to radiate.
A typical double-balanced mixer, driven by +7 dBm into the LO port, has 50 dB isolation from LO port to RF (input) port. That's -43 dBm leakage (50 nW), but there is more power circulating in the oscillator itself.
The CRT TV sets of my youth were not particularly well-shielded, usually in a plastic housing. Also, the input mixer was not double-balanced.
Radar detectors use simple diode mixers from their receiving antenna, driven by a suitable local oscillator, where the isolation is much worse.
TEMPEST is an interesting concept. Modern equipment must pass emissions testing to avoid interference with other systems, but TEMPEST is a tighter security specification for when the emissions might contain information of strategic value.
When I first read of it, one had to show a need-to-know to find the actual specification, and ones supervisor could not access the specification unless he showed his need-to-know.