I would say that you've just said what I've been saying all along, but without the frustration :-) Thank TomBo!
Dem Romans: There are many contemporary Roman texts that talk of things like: In Gaul they have statues at cross roads of one of their gods that is like Apollo (a chicken?), so we'll erect a temple to him there!
The Romans were very good at assimulating (resistance is futile) the gods of the folks they conquered.