Hi dcoded,
Or the signal manages to bend around the airframe and continue more or less un-obstructed to me?
Afraid not. The wavelength of ILS is about 3 metres, and any aluminium bigger than the wavelength will disturb and reflect the signal significantly.
The VHF signals are basically line of sight, and if you followed someone on the approach, you both should be able to "see" the ILS LOC signal cleanly (because it's at the far end of the runway).
However, I think the the Glide Slope transmitter could become obscured if you were both exactly in line. (But how many times have you lost the view of the PAPIs due aircraft ahead obscuring your view?) There's also a chance the reflected signal from the aircraft ahead could cause a phase difference with the direct signal and give you false Glide Slope indications.