That's sure more likely than Eller "taking it all." I still don't have hard data to back up my opinion, but news articles are pointing to a parting out, with Maher getting NJ//NY, Eller (maybe) getting Miami, but Eller being credited with starting the objection ball rolling (with their lawsuits).
Just for this one union company. Bah.
AFAIK, all US ports are union, and will be no matter who owns the rights to warehouse and stevedore.
Speaking from my own POV, the Port of Houston has both union and non-union terminals. Stevedoring companies here do not all have contracts with the ILA. At some terminals, it is 50/50 percentage-wise, but I'm not sure about all 150 of them.