I say everything is annulled by the Spire's presence if you get close enough. That blankness you see when you look over the edge of Sigil? That's the Spire "balancing" all light, darkness, space, thought, entropy, and time out of existence.
In the 1e Manual of the Planes, ordinary chemical reactions - not just gunpowder, but normal fires and even digestion - stopped working within 100 miles of the Spire. "Neither man nor god can come closer to the center."
Speaking from my own opinion that the Spire is a stormdrain for the extra Magic floating around in the multivers, I feel that this natural magnetism for powerful forces would adversely affect anything relying too heavily on precision in where the electrons are going; while it doesn't suck UP electricity, it does pull it aside a bit from where it's supposed to be going. So, miniaturization at the microchip level would stop working as one gets closer, and the closest circle of influence would probably mess with things slightly less complex than that. However, something like gunpowder would still work at the base of the Spire.
As for Magic vs Tech... I get the feeling that, once again, magical forces and electronic miniaturization would have a certain amount of interference between each other. IE, creating a Palm Pilot with any sort of magic installed on it would be hell (figuratively speaking) because the constant ionization of the electrons would scramble the magical fields and vice versa.