There is no point to recirculating BIAB (to keep temp at 1 constant temp; there are exceptions of course: e.g. step mashes). This is not to mention the water that passes through many of the sous vide immersion circulators is not meant for consumption due to the parts it comes in contact with.
One of the main points of BIAB is you can finely mill the hell out of the grain, put it in a bag without worry of a stuck mash, and have a much more efficient and faster way of getting the sugar out of the grain. As many others will tell you on here, mash conversion happens in about 15 mins with finely milled grain (check yourself with iodine test). You aren't going to have a significant drop in temperature in that amount of time, especially if you're insulating your kettle. Historically, I mash for about 45-60 mins and lose maybe 1-2 deg over this time. I tend to err on side of a shorter mash time for LODO brewing (minimize time exposed to air with a mash cap); there are other less temp dependent processes occurring during the mash besides conversion so i think there still benefit of mashing longer than 15 mins.
If you spend enough time on these forums you will find people touting various complicated processes with the assumption that more complication equals better beer (3 tier system included). This is a false assumption and one of the reasons why I enjoy reading about evidence based brewing. Quite often, the more complicated something is, the more likely something will get screwed up. The best process is often times the easiest and most reproducible process (if end result is the same).
The other thing people will say goes along the lines of, "well, who cares what they do? The best process is different for everyone based on what works for them and what they enjoy." This is fine and all; part of me gets this. But the scientist in me sees it as a Rube Goldberg machine: a machine intentionally designed to perform a simple task in an indirect and overly complicated way.
So i stand behind the above statement that BIAB is the only way to brew, which ive echoing on here for 5+ yrs since before BIAB was popular. And by “only way”... i mean it in the same tone that i say that soft shell tacos are the only way to eat tacos.