I think the TOS Enterprise was treated as a character ironically by other characters. She was seen as something to be prized and even fought for by Kirk and Scotty in particular and ultimately as a lady to be treated right by McCoy. Sure, that can be dismissed as those characters just being possessive or merely sentimental, but I think those feelings helped make the Enterprise feel more than just an object to many fans, IMO. I do think that since TOS (or more likely, the TOS movies), Trek hero ships have been regarded by the characters as simply vehicles to get around from point A to point B, although there have been a few moments here and there when that hasn't been the case. But I don't think we haven't seen anyone since TOS Kirk and Scotty be so in love with their ship.