Originally Posted by
cny-bikeman
No, actually if the rim is too narrow the tire will not be as stable on turns, as it will be squeezed to a different, much higher profile than designed.
I remember this from when I mounted a 37mm tire on the 14mm rim of my touring bike. It was a pain to get to work, the tube just wouldn't behave. Handling was just bizarre, the bike felt like it would wash out from under me at the slightest provocation. Needless to say, that is at the extreme end of the spectrum, and that the bike feels just fine with 32mm tires on the same rims.