I have owned the 80-200 AF-D ( most common version by far and also currently available ) , the 70-200 VRI and current have 70-200 VRII
Also used a 70-200 F4 for trip a couple of times
As already stated it depends what you are using it for
If you are using for low light / fast action the 80-200 AF-D is not a good choice ( the much rarer AF-S is a different story ) . The focus speed is much slower than the 2.8 VRI and 2.8 VRII and F4
Keep in mind , even though F2.8 can give you faster shutter speed to freeze action, you will freeze out of focus action !
If you are using it for portraits ( the 70-200 2.8 is one of my favorite portrait outdoor portrait ) the 2.8 are generally a better choice
Although one would first think that you would give up lots of bokeh and DOF but turn out this is NOT the case
Very interesting read on DOF between the two
https://photographylife.com/nikon-70-200mm-f4-vs-f2-8
Turns out the F4 version of that lens is BETTER for subject isolation on portraits . Who would have guessed !
If you are doing a bit of both, the F4 is a good choice . The VR helps with dealing with the lower max SS F4 vs F2.8 for non moving objects .
You could also look for a used 70-200 VRI .....lots of guys have sold theirs to get the VRII . You can find lightly used ( no pro ) copies around
Bottom line is IMO you would be better served with the new F4 vs the older AF-D 80-200