The question for me is usually, can the back take it? Meaning higher crowns and knotty staves were always a bit of a gamble for me to heat treat. But in no case (yet) did any of those high crowned or knotty staves suffer as a result. I did a bow a few years back (Knotty Boy) that was both. High crowned and knotty. Pretty thin ringed as well. I tempered the devil out of it just to see the results. I cant tell you that the tempering was anything but a benefit. Additionally, the bow sat in the corner for some months and picked up 10 or 15 lbs in draw weight. This is after shooting it in for several months once it was finished. I cant say that tempering was the cause, but the point is it didn't hurt anything, and I believe it was at least partly responsible for this bows performance.