Heads up, the shuttlecraft in the Starter Campaign has a Command of 01, while the one in the Core Rulebook has a Command of 00.
In the context of the Starter Campaign, I don’t think it matters too much, but though you should be made aware (I did do a quick search and didn’t see it brought up).
I take it the Core Book is the correct stats?
EDIT, this is on page 10 of the Starter Campaign and page 235 of the Core Rulebook.
There are lots of different shuttle types. The one in the starter doesn’t specify what kind it is (neither does the one in the core book, actually). So feel free to use whichever one you want. The Command Sourcebook offers additional types of shuttles you can use in a game.
Thanks for pointing out there are more in Command Sourcebook. However, none of them have a Command stat. Not even the runabout.
I would say it’s inclusion is Plot Armor™, but it isn’t used or even need.
I wonder if the Klingon shuttle that appears to get a mission profile like a full-on starship is going to get changed…
It did. Typo in the preview draft that got fixed. 
That’s good. I assume by “type” you mean that the “Small Craft” Trait was added.