So here's what just happened on the older F12 / short chimney...
Burned down my evening load until stovetop was at 350'ish. Larger bed of coals than I usually load on was left, but not so much that I couldn't rake them forward enough to get one log in behind. My firebox is not deep, really only room for two splits in the bottom, E/W. Loaded 7 medium splits, four high in the back, and three high in the front.
Stove went pretty quickly 300 to 500F, but most of the wood was not yet touched by flame, and there wasn't real strong flame activity (just the splits on the bottom were flaming). So, I turned air to 50%, and let it go another 5 - 10 minutes (while I read hearth.com). Went back and found stove top at 650F - 700F, and although load was not yet fully engulfed, I decided I better engage cat before it got any hotter on the stove top.
Cat temp shot up fast to low 600's, then slowly fell to 585F. Hung there, and I headed back to my home office to start typing this.
After a few minutes of typing, just went back out and checked again, stove top has come down from near 700F to a mere 600F, and cat has climbed close to 700F.
The new stove with the taller chimney was loaded with the same wood, in the same way, at the same time, on a slightly smaller coal bed. It climbed to 550F, the wood looked well-engulfed, so I threw the lever and the cat shot up to 915F. This new stove seems to cruise endlessly with the cat right around 1000F, and the stovetop whatever temp I want. Much less exciting... almost boring.