I didn't even think of this when I first heard about MIDI event chase, but it's a HUGE advantage if you're using MIDI notes to drive a pattern based drum machine like Geist or Tremor in which the patterns are set to Gated mode (i.e. a certain pattern will keep playing as long as you hold a note down).
Without MIDI event chase, if you have long extended MIDI notes triggering the same gated pattern, you'd have to rewind back to the start of that note every time if you wanted your drums to play. Now I can start playback anywhere and the pattern will play back. Absolutely fantastic!