Fascinating Graham; never seen one like it.
I'd still call it a comparator, however, although, like the more conventional bore comparators, quantification of deviation from the null can be read from the dial. That isn't really the same as a 3-leg bore micrometer. As to why the Russians used four moving (and apparently gauging) contact points, I've no idea. They liked to plough their own furrows, didn't they? Perhaps someone can offer a suggestion.
Regarding inconsistent results from different measuring device concepts, I have to agree. I have a set of tiny Matrix 3-leg bore micrometers somewhere (not accessible at present). From memory, there is a fairly conventional-looking micrometer thimble, which sets the extent to which the legs can move out, under the influence of a spring. There's a set of different diameter heads, containing the legs. They are expanded by a shallow-tapered pin, the axial position of which is controlled by the mic. thimble. The pressure applied to the work is that of the spring, not the gorilla holding the device. In use, one moves a collar axially, to retract the legs when inserting and removing the device. Neat. Unfortunately, to span the entire measurement range, several pins are required. One is missing. It will be an awkward bit of watch-making to fashion one. It's not high up on the (infintely long) to-do list.