There is also the opposite outcome, pitch up events due to false glideslope lobes, although this is a beast is a rarer as you have to be quite high to suffer its effect. The Dutch safety board did a great writeup after a stickshaker event:
Pitch-up Upsets due to ILS False Glide Slope as wel las responses from different regulatory authorities. The report is available on that home page.
Someone even did a Safety Management System failure analysis on how this issue was missed for so long: Safety Management:
Reversing the False Glide Slope Myth .