Actually taking another look at building materials might be in order here. Pretty sure they used both. And the Granite they used has very high piezo electric qualities. While the Limestone has insulating qualities. By design for some reason?
Here's one quick link on how they cut granite:
https://sciencing.com/granite-quarried-ancient-egypt-6032.html
Perhaps they used diamonds, which are harder than granite:
http://www.theglobaleducationproject.org/egypt/articles/petrie.php
Or maybe they used sand:
https://www.pbs.org/wgbh/nova/lostempires/obelisk/cutting.html
The exact technique may remain undetermined for now, but hardly mysterious.
As for gold on the statues, they weren't plated, they were gilded. Much like gold leaf, or the gold inlay on fancy medieval suits of armor. No electric current needed.
Here's a detailed piece on ancient Egyptian goldsmithing: