I could be wrong, but....
Wasn't the 4**** model named such, because, presviously, the Otto Link mpcs were only available in "number" facings like 2,3,4,5, but then Link introduced the "Star" facing nomenclature, to signify a facing which is between a number, ie.., 2, 2* , 3, 3*, 4, 4*, 5, 5*, four NEW "star" sizes, hence the "4****" model.
Look at the old ads.
If it were for named for four sax stars, then it would be probably be called "Four Stars" or "Four Star", with the word STAR write n out, right?, but the named stamped on the mpc is 4****.
Sometimes, if we sit and think too much about something, we can think of all kinds of complicated answers to a question, when the answer is right in front of our nose.
my 2 cents