I bought a D500 last Spring. I have been using it mostly with a Sigma 100-400. I can get very sharp photos of perched birds, and larger birds in flight, from herons and eagles down to ducks and cormorants. Songbirds like red-winged blackbirds and tree swallows are another story when it comes to getting sharp BIF shots. I have a bit of luck from time to time with red-winged blackbirds, but very rarely with tree swallows.
I was thinking of getting one of the AF-P 70-300mm lenses in hopes that their AF motors might be able to keep up with smaller birds that fly fast and erratically. I already have the DX AF-P Nikkor 10-20mm and 18-55mm VR lenses. The DX AF-P 70-300 would complete the DX AF-P trio. Does anyone have any other suggestions regarding a fast-focusing lens? Or am I expecting too much?