You mentioned it first - I don't know all there is to know about these lamps, but I was aware there are two different types of lamps, one rated for enclosed lamps only, and another type that can be used with open or enclosed lamps, and it was my understanding that the reason for designing the second type was because violent failures are fairly common, and the second one is supposed to contain the failed arc tube so that you don't have hot parts and glass falling on people that may be below an open lamp type fixture.
All metal halide lamps have an arc tube that can fail violently, most common cause being from run beyond the rated life. Risk goes up with 24 hour non stop operation in that metal halide lamps generally fail to start when the reach the end of life, however in 24hour operation the lamp will never get that chance to fail by not lighting when still cold. Burning them horizontally increases the risk more so because the arc actually bulges upward, weakening the arc tube more at the top than the bottom. Being over driven (bulb ballast mismatch) is another one as well.
Reason for the sensitivity, MH lamps have much shorter arc lengths (electrodes are closer) as apposed to Mercury vapor or High pressure sodium lamps which have long slender arc tubes. The arc tube as a result operates at a higher pressure (around 50psig) and temperature than the other two, combined with normal arc tube blackening and the ease of the arc instability at end of life you have the higher risk.
You are correct, violent failures are common and that was the reason for the creation of the open rated lamp. By far the worst offenders are the compact envelope lamps commonly used in bollards, wall packs and recessed HIDs. I have seen parking garage fixtures where literally every other 175 watt lamp was blown to fragments.
At one point I was convinced the normal failure mode for 100 and 175 watt lamps was through self destruct. Much less so for the higher wattage versions but every now and then it does happen.
Anyways, there are 3 types of lamp ratings.
First is type "E". These must be operated in an enclosed fixture, and one that is rated to contain the hot glass from a rupture. The outer glass will shatter from an arc tube failure when lit.
The second is type "S". These have a bigger envelope but no internal or external shatter protection. These used to be allowed in open fixtures like high bays with the theory being the larger envelope would disperse arc tube fragments but truth be hold in some cases the outer envelope would shatter as well. These lamps by code are not allowed anymore in open fixtures like high bays with no glass lens.
The third is type "O" These have a thick shield around the arc tube in addition to some also having a thicker outer envelope. They can run in either open or enclosed fixtures and a violent arc tube failure even from a serve ballast failure will not break the outer envelope. These also have a special base. It will still fit into a regular socket no problem, however open rated fixtures are required to have a special pink socket. The pink socket will take a type "O" bulb base, but it will reject all type "E" and type "S" bulbs bases.