[Brightcolours]

Oh, you bought the 70-200 so that you can use it exclusively at 200mm and at minimum FD?

Either you are joking or the full moon is having an effect on you.

I bought a 70-200mm to get some tele reach, indeed. Not to shoot 70mm. This is a very common reason. 
What I actually did write above:
"For me, it would be indeed be a big issue, as I use my 70-200mm almost exclusively at 200mm setting, and most of the time near/at/past MFD."
 

So, yeah, I do use it almost always at 200mm.
And I do use it very often photographing butterflies, flowers, mushrooms, leafs, bees, so close up distances upto MFD and beyond MFD (with an extension tube).

What that has to do with the full moon, I am not sure about. The moon would be at infinity.

FOV does matter, and so does magnification. Both would be severely impacted by a lens with strong widening of FOV towards MFD.