@RIOT Tahm kench question

I figured it would be best to contact the hierarchy of elders on this topic. I was looking around on the boards today and saw a thing questioning why Tahm Kench didn't have any special interactions with the river. I offered this idea up:

It's more of a symbolic thing. He says that "all rivers end in me," which is talking about how anyone who is swept up in their ambitions or sins will eventually end up in his bottomless maw. The "river" here references both his water theme but also the idea of being swept up in your greed and ambition, and making hasty deals to get what you want with little effort (which is why the gambler was used in his story. There's no effort in gambling, it's just making a deal). As such, he's "the river king" because he pushes you down the river, and eventually you're "dragged under the water", signifying that your laziness, your desire to achieve your ambitions, has caught up with you in the end.

How accurate is this? I want to see if I'm right or not.