jlr1962, I've learned a lot over the years of volunteering at the eye hospital, and I've been reading everything I can about red dot sights.
The red dot sights I've read about have no magnification - what you see is "life size". The red dot is designed to be seen as "sharp" when your eyes are focused at a distance. I've read that it isn't "infinity", but for all practical purposes, it might as well be.
If you got your eyeglasses from a full eye exam with an ophthalmologist, they should correct anything that is correctable in your vision (which excludes permanent damage from Glaucoma, Diabetes, or Macular Degeration). When you look ONLY at some distant object, it should appear sharp, and not distorted. Ditto for the red dot.
If these are your first prescription glasses, and they are also progressive lenses, it's probably going to take you longer than usual for your brain to adapt to the "strange" things it will think it is seeing - just move your head left and right, and the world will start to look like you're on drugs or something. Over time, the brain knows what to do, and regardless of whether you're wearing the glasses or not, the world will look normal.
I don't think the red dot will appear any sharper at 15, 25, 50, or 100 yards. Yesterday I tried looking specifically at the red dot, and not paying much attention to the target. Results were the same. The only thing that makes my red dot look "blurry" is turning up the brightness, but this is indoors, it's what I would expect.
I am completely lost by your comments about variable power scopes. I know nothing about those, or how they would work with a red dot sight. Maybe you can explain a bit more here, or in a new thread? I'm also curious why, if you have, say, the 16 power scope, and you can see the reticle clearly, why would you also want a red dot?