That chart contains some misinformation.
For one thing, it claims that a pre-AI lens risks damaging a D3200. Not true. Apparently, there is some danger of pre-AI lenses damaging those bodies which support the AI-style mechanical aperture ring coupling, but the D3200 does not have this coupling, and is not subject to being damaged in that way. Nikon claims that pre-AI lenses cannot be used on any DSLR except the DF, but does not warn of any possible damage from using one on a D3200. I have three pre-AI lenses, which I have frequently used on my D3200, and they all work just fine, albeit with the same obvious and expected limitations that would apply to using any non-CPU lens. The same is almost certainly true of the OP's D5200, and of any model which doesn't have an AI coupling tab. I think this includes all D3x00 and D5x00 models.
Also, it claims that
“All Non-AI lenses have a letter after the word Nikkor, to tell the number of elements in the optical formula. For example, in the Nikkor-P 105mm f/2.5, the P stands for Penta, i.e. five elements.” Again, not true. That nomenclature was discontinued in 1974. AI didn't come out until 1977. My 28mm ƒ/3.5 Nikkor (Pictured below, mounted on my F2), which I believe to be from 1975, does not use this nomenclature.
My 1972-vintage 50mm ƒ/1.4 lens, however, does use this nomenclature. The “-S” after “Nikkor” means that it has seven elements.
