Unless your doing some really fine and detailed work. Even going past 720 let alone finer, is a waste of ink so they say. The norm is considered 300. Which is a very good coverage. Anything above 600 or so your probably wasting time if not ink as well. Not sure how its wasting ink but they say its wasting ink. In my opinion the biggest deal is time. And going to the very fine prints takes alot of time and you probably can't even see the difference with the eye.
I only have Epson printers, but to get to the finer print settings you might need to go into an advanced mode of operation. Paper selection choice may be a factor as the printer may not give you the option of printing finer unelss you specify a paper that can handle it. Not sure but that is my guess.