More personal preference... You could do BIAB in a kettle with a false bottom if you wanted to. It would make cleanup easier.
Personally, I've done the BIAB method, and have put it on the sideline in favor of the converted cooled mash tun. I did a batch where we split the mash between a 48qt cooler and a pot with the nylon bag. The bag had to be held back so that the wort would drain out of the valve in the kettle. With the cooler/MT, you don't need to do that.
I've also torn a bag when putting it into a pot that had a thermometer clipped to the side. Luckily, it was two small holes that I was able to get away with on that batch. Just couldn't use the bag anymore. Won't have those issues in the cooler MT...
I do think that if you look at a dozen different brewers hardware/configuration, you'll find just as many unique rigs. I think you'll be hard pressed to find any two identical rigs. You might find similar components, or some parts in common, but overall, they will be different. Just the nature of it all. As long as you're making good brew with your setup, keep doing it. Change/tweak things as you want, adjusting until you're very happy with the results. I'll probably be changing things with mine, at least from time to time, over the next few years. I don't know if it will ever be static for more than a few months... Then again, who knows.