The main difference between Ticonderoga and arleigh Burke has more to do with evolving view of how many hulls the USN needed to conduct aggressive forward deployment coming into vogue in late 1970s, and what it can afford to put into each hull, then the role Individual ship would play.
Both designs were meant to be cheaper, less capable ships that could be would form the low end of a all Aegis hi-Lo mix. Neither vessels were intended to take on distinctly different roles from the other,
In both cases, the vessels that was intended to form the high end of the mix proved unaffordable, or did not provide a sufficient margin of superiority in its primary mission over the low end of the mix to justify the added cost, so were cancelled while low end of the mix, seen as cheaper and therefore politically more palatable, were proceeded with.
So both classes ended up being the sole design in production. AB really are the successors to the Ticos, not an low end to Tico’s high end. In so far as AB seems even lower cost than the Ticos, that is a reflection of the realization that even the Ticod can not be afforded in sufficient numbers to meet the demands anticipated in the 1990s had the cold war not ended unexpectedly.
Ticos are in some ways better equipped than the AB. So it is possible to arbitrarily draw a line of demarcation right between them so as to justify why one should be a cruiser and the other destroyer. But that would be purely arbitrary line making a distinction without any substantive difference.
Incidentally, the intended high end to ticonderoga's low end - strike cruiser - would have been a true cruiser designed from the onset to be able to take on independent cruising missions without escort in low to medium threat environment. It would have been equipped for substantively different roles from Tico. The ticos would have formed parts of the screen around these strike cruiser in high threat areas like WWII destroyers screening cruisers. That would have meaningfully made the strike cruiser a different class of vessels from the Ticos.