The FW-190-A5 and D9 have an aft and forward tank. On auto the aft will always burn first.
The 190-A8 and F8 add an aux. tank which becomes the first tank to burn, then aft, then forward.
I think in an earlier version of AH the aft/forward burn may have been reversed, which would coincide with Soda's web pages. That has since changed.
I always just leave mine on auto no matter what I'm flying. I could see advantages to roll rates in burning wing tanks first for those that have them but it would seem to be a bit of a pain to have to keep switching them to maintain balance.