The way the mission is introduced is really cool, and the mission itself is fun, interesting, and challenging, so why on Earth are you only letting me rerun it whenever RNGesus decides? You can run the Heroic from the director whenever you want once you beat normal mode, why can't I do the same for repeat attempts of normal mode? Nothing is more frustrating than seeing this cool and well thought out mission, failing it at first because it is challenging (a good thing,) and making me wait more than an hour before I can give it another shot. I'm all for challenging content, and the way you're introduced to the mission is cool, hence the event should only be required for your [i]first[/i] attempt.
EDIT: Perhaps just giving the taken event more consistency is more than enough. It doesn't even have to be extremely common, but maybe a rhythm to the events might be nice. Even after getting the gun, I still stand by my point that watching 4 cabal excavations in a row is never fun, but maybe that's the point and part of what makes getting the gun so rewarding. Do what you intend with it, bungo.
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You like to do missions whenever you want? Might as well ask Bungie make it 99.5% jumping and you have to use one type of weapons hit some moving target within a 5-second window. How would that be for challenging and interesting?