The big advantages of the D500 are frame rate, AF performance, and smaller files for volume work. I agree with all that. You can also add the benefit of a magnified viewfinder making the image larger while framing. The D500 is a top-end APS-C camera, so price is comparable to other cameras at that level. Other APS-C cameras in the D3000, D5000, and D7000 series lack the AF performance and frame rate, but they do provide a lower price point.
But I don't think anyone with an FX camera is choosing to use DX crop mode. The D850 and Z7 offer the same pixels on subject or more compared to APS-C, and the D800 and D810 provided 16 megapixels in crop mode. The frame rate of the Z6, D4, D5, and D6 is about the same or faster than the D500.
The file size of high resolution cameras does matter for some situations - especially when you generate lots of images and the output is for web or medium prints. I use a Z6 more than a D850 for that reason, particularly for events, charity work, and web only jobs. I view the Z6/D780 as being standard resolution cameras - like the D500 and D4,5,6. I like having the option of standard or high resolution cameras.
The big advantages of full frame cover a lot of ground. For high resolution cameras, it's only when you get to DX crop or beyond that the crop factor is a benefit - and maybe not then. For standard resolution cameras, the benefit is less noise until you get to a 1.25 crop. If you have enough focal length to frame the shot without cropping, the FX cameras have cleaner backgrounds from a shallower DOF. For equivalent DOF, you need to use a lens 1.2 stops faster on an APS-C camera - something that is often cost prohibitive or impossible. FX cameras also benefit from a stop lower noise in low light.
Outside of wildlife, APS-C lenses are usually geared more to the consumer end, so there are lots of less expensive options. But most of these lenses also reduce quality to achieve smaller size and lower price. Pro level DX lenses - like the older 17-55 f/2.8 - were comparably priced to FX lenses. There are plenty of small, economy lenses for FX from third party manufacturers. The Z system has both full size and small options.
If you go the APS-C route - or crop a full frame image - technique is paramount. The more you magnify the subject, the harder it is to frame a moving subject or even find a subject. We all recognize the challenges of getting sharp images, and cropping with an APS-C sensor can make that more difficult.
If you photograph a lot of wildlife, an APS-C camera with a high frame rate and more magnified viewfinder has some merit, but it's often as a pair of cameras that includes FX.
I found the D850 and Z6 combination was much better for me, so I sold my D500. I originally bought the D500 because of AF performance. The performance of the D500 was much better than my D810 for action (25% better keeper rate for my equestrian work), but not better than the D850 when it was released. The Z6 replaced the D500 for standard resolution work. So the D500 no longer had a place outside of being a backup camera for action.