CHASE discriminates customers who pay off their balance in full Wilmington, Delaware

Have you checked your Credit Report? 

"My  application was  denied  with the  following  explanation:

"Repeatedly alternating between carrying and paying a balance in full during the  last 24  months." "

Odd reason but that sounds like a report they got while checking your credit. 

"What I believe is that this is not about creditworthyness but about profit."

  That is an astute observation!

"It looks like Chase is not interested in customers who don't pay any interest. "

   You do realize that banks make money by charging interest, right?    Just because you apply for a card does not mean they have to offer you credit.  They can pretty much choose whatever criteria they want to asses your application.  It's their money and you are asking to borrow it.

  Seriously, banks use a lot of different data points from a credit profile to decide whether or not to grant credit.   It changes all the time, dependent on market conditions.   Right now, most banks are very tightly limiting the credit they extend.  It doesn't surprise me that they would deny credit to someone if they thought they would not be making a profit on said credit line.  Basically, you seem to be saying that your assesment of your own creditworthiness should supercede the lender's.  It doesn't work that way and I doubt the C of C will see it your way either.