I think this site explains it all well:
https://www.united.com/CMS/en-US/tra...edBaggage.aspx
Pretty sure that's where the OP pulled the phrasing that was in question but it comes right after they list out all of the various status levels and what you get for free. Now the question I have (not relevant to me but in general) is the site specifically states "Customers traveling with
MileagePlus Premier members or dependents traveling with active U.S. military personnel..." so I'm assuming that means someone traveling on a reservation with a Credit Card holder that does not have any status will not get the benefits?