The name could be a native one, merely translated - but I don't think Vulcans would really choose to value the quality of failing to be sensibly trepid...
The idea that Starbase 6 sent the ship is not particularly strongly expressed. All we know is that the SB was in contact with that ship. But if SB 6, the Intrepid and the Enterprise all operate so seamlessly together, it becomes somewhat academic whether they are all part of the same organization. An all-Vulcan ship serving Starfleet interests is confirmed in any case...
Timo Saloniemi