Travis Mayweather is a character looked great on paper for ENT.I agree. Sadly, Mayweather's extensive experience in deep space was somewhat undercut by the presence of T'Pol and Phlox, both of whom became the go-to alien experts.
The issue was that his extensive experience amounted to having visited about five planets during his time as a "Boomer."
That means in general, Archer would have Mayweather's level of experience meeting alien cultures by the sixth episode of the series.
Add the fact that the NX-01 Enterprise was immediately traveling faster and farther than any other Earthship; any real experience Mayweather had experiencing the cultures of those five worlds in depth would have been worthless because they are quickly went beyond the current known space near Earth.