Are you talking about spikes under your speakers or under an electrical component. If it is an electrical component, I think the complaint is a coincidence. It might be a real phenomenon with spikes under a speaker.
Spikes are intended to couple the speaker to the floor and will transmit MORE energy to the structure. Most footers are intended to dissipate that energy and would reduce transmission to the structure. If you somehow, by using both the spikes and footers, created a particular tuning of the resonance of your speaker set up such that the system is resonating at a frequency that is easily transmitted by the structure of the apartment and is particularly loud in the music you are playing, this might be the cause. Try taking off the spikes and going with just the footers. I still think it is somewhat unlikely that the spikes caused such a change that it was a cause of the complaint. It is more likely a coincidence—your music playing happened to annoy your neighbor more than usually (she might have had a rough night trying to sleep and you woke her just as she was getting some shut eye).