Ya it is kind of hard to compare the 80-200mm f/4.5 Ai vs 80-200mm f/4 AiS. But the f/4.5 is slightly easier to handle, being lighter, and kind of gives it an edge.
This was taken some time back with D800 while on business trip to Sydney, with an earlier copy but better condition f/4.5.
Nikon D800 Ai 80-200mm f/4.5, 6s f/8, ISO 100.
100% crop of above image - scary sharp! You can see the decoration in the rooms!
But this lens loses out in the race to fill my bag when I travel, to the E 75-150mm f/3.5, due to weight and larger maximum aperture. Neither the f/4.5 or the f/4 versions get to go out and play very often.