At longer focal lengths, the size of the front elements geverning how fast lens (eg f/2.8)
That's true only in order to achieve the same image circle.
Let me put it in another perspective.
Here is the lens(es) of about the same focal lenght 50 mm. and same speed F/2.8 for three different image format (image circle).
Now tell me if 200 mm. F/2.8 DX at reduced sized is not possible.
PS. I am not arguing for the full frame as there is no such a thing.
I merely look at the technicality and design purposes side of the thing.
That's true only in order to achieve the same image circle.
Let me put it in another perspective.
Here is the lens(es) of about the same focal lenght 50 mm. and same speed F/2.8 for three different image format (image circle).

Now tell me if 200 mm. F/2.8 DX at reduced sized is not possible.
PS. I am not arguing for the full frame as there is no such a thing.
I merely look at the technicality and design purposes side of the thing.