I'm a believer in tripods, but the coin trick is bogus and for more than the orientation of the coin. Blur in the image is the product of the angular velocity of the camera multiplied by the exposure time, which means that a slowly rotating camera with a sufficiently short exposure will show no blur, but a similarly short exposure where the camera leaps (e.g. due to massive mirror-slap, like in a 6x7) can show blur. The problem is that what you need to tip the coin is not angular velocity but a certain total angle of tilt. If/when the camera leaps due to mirror slap and crappy tripod, it will move rapidly for a short distance and then return to its original orientation; it is not tilted for long enough to overcome the coin's moment of inertia. Rephrased, the coin test is meaningless because the problem (angular rate) is the derivative of what the test measures (angle wrt gravity).
So: even if you're getting motion blur on a tripod (get a real tripod already and use MLU - it's not that hard and it WILL work perfectly), the coin will not topple. And if you're not getting motion blur with a short handheld shot, you will definitely drop the coin because there's no way you can handhold a camera to the angular accuracy required even though you can hold it still enough.
Edit: and to put it even more specifically though a little more technically, vibration has a spectrum. All tripods get rid of the lowest parts (below about 5Hz, including 0Hz=constant rotation) of the spectrum, meaning that only higher-frequency vibration is left. The problem is that at higher shutter speeds, it's the high-frequency vibration that can show up as blur in the image where the lower frequencies mechanically blocked by the tripod would have no effect. If you want your tripod to be stable up to higher frequencies, it needs to be well damped and have no resonances and such tripods do exist.
Handholding introduces large vibrations but only at very low (<1Hz) frequencies, which means that for all intents and purposes, handholding introduces a constant angular rate to the camera, which is the basis of the t=1/f rule-of-thumb. If hand-motion is the only source of blur, the rule of thumb works perfectly well, modulo the person-to-person variations in wobble speed, so the rule of thumb is very applicable to APS, heavy 35mm SLRs and anything without a mirror slapping about. As soon as you introduce a bigger mirror though, hands will damp the motion of the camera but whether they will damp it well enough to avoid blur is a different issue - I know I can shoot sharply at 110mm and 1/125 on my RZ, often at 1/60 too. But the latter is more reliable if I use mirror pre-fire, which is hardly surprising because I can feel the whole camera bounce in my hands as the mirror hits the stops.