Maybe but I'm not 100% sure. They all feel pretty similar to me, except for nut width on the 100, 200 and GS Mini. Mine are all stock models or LTD's which usually don't have a different neck profile. The attached picture is what I have stored on my computer from the last time this came up, and it looks like there are different profiles.
BTW a 516 would be a GS body, not a jumbo. An old style Taylor jumbo body would be a 515.