Okay, all gobbledygook aside, what is the Final Answer?

"Any sufficiently advanced technology is indistinguishable from magic." [Arthur C. Clarke]

As tsuwm said earlier: if you're asking about semantics, yes they are related. And, as goofy said a little later on: if you're asking about etymological connection, no.

I have been "corrected" by my students for pronouncing them incorrectly...

Yeah, prescriptivism is a female dog, ain't it. I've stopped correcting most people who pronounce often with a t or err as air. As Faldo said elsewheres: "shift happens".

Ceci n'est pas un seing.