I asked myself the same question recently. I don't have the D5200 but I do have the D5100 and D3200. I have three AFS lenses that benefitted with an AF adjustment between +10 and +13 on my D800. On the D5100 two of the lenses would need no adjustment at all and the third only a very slight adjustment of maybe +2 or +3 and most likely of no concern. I don't know what this means.
My original thought, before I tested these lenses, was that since The D3xxx and D5xxx bodies are lower cost and most likely would not be used with fast lenses that cost 2 or 3 times the cost of the body. That means that the body would be used with lenses with a max aperture in the f4 to f5.6 range which would mask any minor to medium AF errors. I thought that could be a calculated risk made by Nikon in order to reduce the cost of the body.
Another consideration is that prior to the D300 Nikon did not put in an AF fine tune option in the setup menu. There pretty much were no complaints about AF with these older bodies like the D1, D2 and D100/200 bodies. Maybe the AF was aligned better in the lenses made at that time. I know that the older lenses I have, especially made prior to the AFD lenses don't seem to have a problem.
The bottom line is I really don't have an answer to your question, only what I've observed with my gear.