The Ambassador closest to view still says Enterprise. You might say that she is the Sarkharov, but the model says Enterprise, and I have a tendency to go with what the writing on the model says.
Sorry if I'm being a sort of pest, but telling me not to notice these things is like when Starfleet told Picard not to interfere with the Battle of Sector 001; it just in my nature, especially when something good can come out of it. I'm not telling or expecting you to change it, but you might want to learn from this for the future. If possible, you might want to go with a different registry next time.
And yeah, I agree, there aren't many ships from the Lost Era. The one that I can think of at the moment is Madkoifish's Balmung.