Yes, but I think that the U.S. Pennsylvania, Nevada, and Tennessee-class battleships and the Federation Constitution-class Heavy Cruiser could be considered ships of the line, and pretty important to their respective fleets.
There would be a significant doctrinal difference between the battleships and starships, though. Battleships were supposed to stay in port - any actual deployment would detract from their primary purpose of being menacing, as well as risk their loss or at least unwelcome wear and tear. Starships of the
Constitution class in turn were not a "fleet in being" but a "fleet in your face", being run ragged in frontier duty that often bordered on the menial.
Also, Earth is small, and the Pacific is a puddle for an oil-burning battleship fleet; a single major "home port" would make logistical sense for the USN. Would the same hold true for Starfleet, which evidently has at least eleven starbases in the TOS era (the highest quoted number for the era is 27 and we may assume, although we don't have to, that everything from 1 through 27 actually existed)?
Then again, nothing necessitates all those listed starships being present at SB 11. Perhaps most of them were actually deployed on distant missions? We have no idea what this "Star Ship Status" listed there really means, after all, nor do we know the whereabouts of any other ship listed besides NCC-1701.
Timo Saloniemi