In my opinion (which you didn't ask for) it's an enjoyable show but by no means a heavy hitter and i can't imagine how it could out rank the shows that made it into the Drama nominations, or the comedy ones.
Also in my opinion, First Date, and its book, is some of the most mediocre writing of any original musical seen on broadway in many decades... I don't think this is something to tout as a feather in the cap of the show's creator. (I know you're just listing facts about the show's broadway relevance)
i'm glad so many theater people are employed in the cast.