Did back to back drain/fills on my Toyota, no problem. Doing it on my Chevy soon and a family members Toyota. Oh and all of these are 20 and 21 year old vehicles.That's honestly just a myth... Maybe if you NEVER changed the fluid before in the life of the vehicle. It's fine, if you've been keeping it changed regularly. A lot of people change it when the transmission was already having issues to begin with and they claim the fluid change made it worse, but it didn't.
He is an excellent channel for a lot of things but he clearly holds on to old teachings and is not a transmission expert he clearly specializes in general maintenance/ diagnosing/parts changing and short block replacements.
I asked multiple transmission experts about this and the consensus between all of them is if the transmission shifts good and has no problems and the fluid is not black/burnt then it will almost always be fine to do drain/fills.