I had never heard of Zenefits but I've read the articles that have come across HN thus far. From the standpoint of a non-customer they come across as more consumed with proving a point than just proving they are better. I think they ought to adjust their strategy.
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A positive message would give people who don't know you a reason to check you out and your existing customers confidence that you are competent to overcome the current situation.
Right now it feels like they are just trying to justify why they failed... even if the succeed in blaming ADP they still fail.