I have both the 70-200 f/4 and the 300 f/4. I love both lenses!
The 70-200 f/4 is probably my favorite Nikon lens because its VR is so incredibly effective, it's super forgiving! I get a high % of tack sharp images out of it even when my technique isn't the best.
If wildlife photography is the biggest priority for this lens, from my experience, 300mm is the shortest practical focal length for a dedicated all-around wildlife lens, with 400mm being much better. it's difficult to get close enough to most wildlife species to make 200mm work effectively without excessive cropping. I keep the TC1.4II permanently attached to my 300 f/4, and it's my "poor man's" 400, if there is such a thing. It lacks VR, and with the TC1.4, it only gives you f/5.6 wide open. As a result, it's not the best in low light and is pretty challenging to get sharp images with early and late in the day even with a sizable ISO bump. But, it's optically very good, even with the TC1.4 attached, and when you get everything right, it produces tack sharp images. In comparison to any other quality lens of the same focal length, the 300 f/4 +TC1.4 is a bargain.