That production is not coming in. The show flopped in the theatre district. Only a fool would tempt fate.
Only an even bigger fool would bring it in against Hamilton.
And I would think that, if it did come in, it may well be a revival.
I liked Natasha a lot, including the score, but it got zero traction.
Hamilton is indeed the most important show of the 21st Century (to date), and the last fifth of the previous century as well. It has already banked enough advance to recoup, and it will be in line with Rent and A Chorus Line among relatively recent landmark shows. But it is more than both-the Show Boat of this century.
Buzz is not going to be the problem for Hamilton; finding a ticket will be the problem.