This is false. It is not possible for energy to remain "in the strings" unless they are not coupled to a body. You cannot get a standing wave in the strings without those vibrations reflecting through the body.
Again, false. When you strum a solid-body guitar and it really "rings" acoustically, it's because the body is vibrating. The strings have so little surface area that their vibrations alone create almost no audible sound.
This isn't right, but TimTam's not quite right either.
When a wave (the string, in this case) meets an anchor point, some part of that wave is reflected back into the string, and some part of it is transferred to the anchor point. (Vibrations don't reflect
through a body. They either reflect or they transfer through it.)
So, the wave hits the saddle and some of it goes back into the string (which is why it keeps vibrating) and some is transferred through the saddle into the body. (If this weren't the case, a piezo element under a saddle wouldn't work.)
Some hunks of wood resonate well at frequencies that match what comes from the string. Some create more damping force at those frequencies than they create resonance.
The strings have so little surface area that their vibrations alone create almost no audible sound.
Nuh-uh. If this were the case, you'd never hear the twang of a rubber band stretched between your fingers. While the strings have relatively little surface area, they have plenty of amplitude to move some air and you can hear the sound.
If we relied solely on the body for the resonance, you could never hold a guitar against your body or the notes would die out immediately.
Back to the original question: you can make cool sounding electric guitars out of almost anything and they don't necessarily need to resonate. Try playing an ES-335 acoustically. Might as well be made of plastic. But most sound pretty awesome when plugged in.
Danelectro made some pretty awesome sounding guitars out of masonite.
Is it just the pickups? No, of course not. There are a thousand different elements that create the tone and character of a guitar.
Anyone remember Greenwich Village Custom Guitars? He was one of the early builders who made replicas of vintage Fenders, and to most people they were the best relics available. I had custody of an awesome one for a while. It was a featherweight ash one that was about 6 1/2 pounds. Rang like a bell when played acoustically. It was easily the loudest solidbody electric I'd ever touched. Incredible note separation, tons of overtones... It sounded a lot like an OM-bodied acoustic, just quieter.
However, when played at stage volume it totally turned to mush. No definition at all. Sounded dull and flat, and the only good tone was with a lot of overdrive. But with that much overdrive a broomstick sounds pretty good too. The pickups were a set of custom wound Lollars that were similar to his standard Tele pickups. In most Teles, those pickups would have sounded incredible.