No, you are grossly misinformed. The Rio Grande has nothing to do with the trade routes across Arizona and New Mexico into the south.
You are behind in your studies. The incidence of trade with the south is well known and documented.
I gave you the reference. It can be delivered to you in just a few days........ read it
“The Rio Grande has nothing to do with the trade routes across Arizona and New Mexico into the south.”
I think we might have a difference of what is meant when we say one term - “the south”.
So, say what its is that you mean by “the south”.