That's not the region where they come from. They are primarily collected from their locations of origin which is in Yunnan. This is not to say that there are not horseshoe bats in Wuhan although they don't like urban areas and live in the outskirts. It's simply to state that the concentration of viruses that have escaped into animal populations and then humans are all concentrated in Yunnan.

I assure you this is very uncomfortable information for me and I was horrified while reading it because I didn't want to believe it. It's especially alarming to me because I'm concerned about the geopolitical implications of people in nations like India gradually realizing this.

I am not foolish enough to make conclusions yet because I do believe it's too early but as of now the likelihood of origin has shifted strongly in favor of an accidental lab escape. The animal transmission model via nature simply requires numerous highly improbable events for it to be the culprit. This doesn't rule it out it's simply makes it a lower probability of occurrence.