I'm not sure what the difference is other than headstock design. Certainly, the tuners will fit fine or somebody would have noticed that problem by now, so I wouldn't worry about that.
As far as breaking as easily as Gibsons, I suppose it's possible, just as they're equally susceptible to fire, stamping presses and hand grenades.
What breaks headstocks off is being angled back. In a fall, usually the tip of the headstock hits first and takes all the force of the fall, including the inertia of the body. Gibson gets an unfairly bad rap for this because nearly all their necks have tilt-back headstocks, and it's often blamed on the scarf joint that attaches the headstock to the neck proper. Thing is, the glue joint is rarely what fails. The wood tears along the grain at the thinnest point, which is at the nut (where the scarf joint is). The glue joint is generally stronger than the wood. So, that break is not exclusive to Gibson designs. Any guitar with a thin body and a tilt-back headstock is going to be susceptible to that kind of failure.
The only other neck break you see is at the heel, and that does happen on some Gibsons fairly often. The Firebirds, Melody Makers, SGs and a few others had heel joints that were less than ideal, so less stress than you might think would be needed would make the neck part company with the body. You almost never see that on bolt-ons or well-designed glue-ons such as the Les Paul.