Is the Covenant ship in Alien: Covenant less advanced than thethe vessel in Prometheus?

Since the first Alien: Covenant set pics released yesterday, fans have already begun to discuss what the set pieces are for. The growing consensus seems to be that this is part of the ship, The Covenant, like The Prometheus before it, which takes a crew of unsuspecting individuals to a remote, Alien planet where they discover the lone survivor David.

Assuming the set piece is part of the Covenant ship, we can assume that this ship isn't as advanced as the Prometheus was. A less-sleak appearance and an almost warn down, dated look has been applied to the exterior which would suggest the Covenant is either a deep space mining vessel like the Nostromo, or some other class of freighter not directly funded by the Weyland corp (or at least not very well funded).

What do you think? Do you think the Covenant is a less advanced vessel? Could this suggest that the crew of the Covenant are not science officers or military personnel, but random explorers who happen upon David's location like the Nostromo does years later? 

Let me know your thoughts and opinions below!