Every time trail runners are mentioned in a hiking forum, the "boot camp" pushes back. Ian of course makes a very good point that a proper fit is important for safety and practicing beforehand is also a good idea. With that being said, I don't see why a low cut shoe would not work on MWMT in mid June, providing that it is compatible with lightweight crampons with no comfort issues, since the majority of the trip will be on trail and even the direct chute is only a moderate snow. While it is true that the chute is more dangerous than the rest of the trail and accidents happen, I am yet to see evidence that footwear is a major contributing factor (not to be mixed with traction devices). In fact, the data suggest that the majority of accidents are attributed to lack of basic skills, including self arrest and proper glissading on descent. Of three injuries mentioned earlier, two would likely have happen regardless of footwear (they were hit by a falling person) and we can only speculate what caused the initial fall.
Note that I am not recommending trail runners for general mountaineering, and I realize that many folks here consider MWMT a seroius climb. The main purpose of this reply is to emphasize that even the best equipment will not save you when the skills are lacking.
