Spot on
This has nothing to do with pixel density or other issues of focal length being 'different' on DX/FX - it's only a guide to stopping apparent blur caused by camera shake
On an FX you may get away with 1/50th on a 50mm lens IF you also have good camera technique too, but if the lens was a 75mm you'd obviously expect to have to increase the min shutter speed too. DX gives you a similar effect to using longer lenses, hence you need to also increase your shutter speed due to magnifying your
bluro-factor
If using a FX 200mm, but you put a 2x converter on it, would you really stick with 1/200th as the lens itself is still a 200mm??? Or would you go for 1/400th now - and if you would go for 1/400th how is this any different really to using a DX???
But please guys also remember that the reciprocal is at best a guide, and it's also a MINIMUM guide, ideally you always want to be much faster even if it means raising your ISO
DD