VOY did end up being more TOS like than the other shows. In both series the crews had minimal contact with Starfleet, both ships were essentially on their own, both captains bent the rules on a frequent basis and would have moved heaven and earth for their crews. Most of the episodes were stand alone with few arcs. I'm sure there were other similarities.
"I swear to you, we're not finished yet."
"Destruct sequence one, code one, one A."