I don't have this, unless it could be a characteristic of certain joints and not others. It seems that all my "rotating joints" (thumb, hip, shoulder) and my "compound joints" (wrists, ankles) have always been quite a bit more limber and flexible than normal.
Not true of my non-rotating joints. Those seem to be less flexible than normal - not only in stiffness, but in range of movement.
I've seen people hold up their hands and just with the muscles of the one hand, flex their finger joints completely tight and into a little tightly curled finger balls. I can not do this. Some people can touch their wrist to their shoulder - no way I could ever do that. My first finger joint, next to my palm, I can flex it forward by itself slightly past the ninety degree point, but the end joints on my fingers, I can not. If I really press my fingers into a little ball with my other hand, I still can not get the end joint to flex to a ninety degree angle. Opening my hand and stretching my fingers backward, I can achieve just a slight backward arch, but even pushing my fingers really hard they will not bend backwards, not even when I push hard enough that I am in fear of dislocating them. They simply do not flex that much.
As far as the my other muscles go, I have been practicing an almost daily stretching routine since I was in my early twenties, just to remain limber. It causes me to have quite a bit of stiffness if I lay off for too long. It's just another thing I have to do for my own well being. I also feel a lot better after doing it, even those times when I have to force it on myself.
I won't be doing much of that for a while. I plan to keep the dust off my bag with my feet though.