The same way that a security light switches on when somebody gets close enough to it. Those lights have a capacitance switch in them..
The local capacitance changes when people are in the garage and that affects the operation of the aerial tuning circuit, producing white noise.
Inductance/capacitance tuning is the usual means for FM radios although it's normally via a fixed inductance and a variable capacitor which is what you turn when you tune the radio.
Common problem type....osc is an oscillator
https://answersrip.com/question/index?qid=20091030154556AAQwZFk . . . .
Oscillators detect FM signals and a changing capacitance sends it all over the place, producing a lot of frequencies which together produce a sound known as white noise. You can get the same by moving a coaxial aerial lead connected to a Hifi FM tuner In some places a white noise is produced and in others the signal is good.
http://www.somerset.net/arm/fm_only_lowtech.html . . . . .
There will be plenty of reflected signals in the garage so the line of sight effect will not be the prime culprit although it does have an effect.
Very good FM hifi tuners have a reflected path (delayed signal)/direct path (normal signal) analyser and allow the reflected signals to be filtered out.
It's an old radio joke that very large people have a better capacity for messing up radio signals.