That is really overstating it. The Packers are not required to pay dividends and they keep a tremendous amount of near cash on hand (rainy day fund is $127 million - contributions to that fund do not count as profit). The Packers could make zero profit for quite a while and do quite nicely with that reserve.
And Jason Wied has stated they shouldn't need to tap into that fund this year even if the labor issue continues into the fall.