I've worked at a different grocery chain ( Meijer) for the last 27.5 years. Been a UFCW member most of that time( 90 day probationary period at the beginning before you officially join) My "local" (UFCW Local 1059) covers 3/4 of Ohio, based out of Columbus.
I know ( Pre-ACA) that some of the other companies whose workers they represent, got their health insurance from the Union.
We at Meijer do not, the company has a Separate "Universal Benefits Agreement" voted on by the whole company, separate from the Union contracts. ( Not all Meijer stores are Union. all but a couple of the MI stores are, as are stores in OH, and KY, but the IN, IL, and WI stores are not.
one time, in my first couple years (1999 or so) , they cut hours down to the point that I didn't qualify, and had to enroll in Cobra until they got my hours back up.
but that weekly stuff... sounds fishy as all get out.... as a 27 yr UFCW member.