I get the same self-cleaning effect with the Bartleby, which uses a 14500 batt, and is, according to Scottbee, operating with a coil voltage close to 3.7V. I've not measured this myself, but the Bart is a significant improvement over reg or mega batts, and attys that were chronically clogged before are waking up quite a bit on the Bart. Flavors are better too, as is TH. Atty washing is becoming a much less frequent need. Sometimes I don't even dismantle the atty and cart at the end of the day, which I used to do with blowing-out before. Now I take off the filled cart, put an empty one on, vape the residuals, take a few fast, hard pulls with button pressed, put the filled cart back on, then set the Bart upside-down on the edge of my desk, with the attached atty and cart pointing down. It stands up with atty pointing down no problem. This is the same as putting the atty cart-side down on a paper towel, but now any liquid goes into the cart, not the paper towel.
My attys have much more of a "last a long time" feel now. The kr808 batt no doubt does the same thing, so the suggestion of a Bart is about the same as that of a kr808, but I don't need an adapter. I don't know what the mAh is for the kr808 batts, but the 14500 is 900 mAh, compared to 280 mAh for the mega 510 batt. Given the problems that can arise from 5V or more, I consider the Bart to be about the optimum batt system for the 510 atty, although larger capacity 3.7V batt mods no doubt have a similar benefit to 510 atty health.