I'm currently wear a pair of Tibet LL and am searching for something with more ankle support as a replacement. I can roll my ankle with the Tibets. The upper ankle area is a bit soft, they're decent, but not as supportive as I'd like.
I recently tried the Hanwag Alaskans and they're much more supportive. The Tibet's and Alaskans are 9" boots. I've also tried Schnee Beartooths and Crispi Guides. The conclusion that I have come to is that height matters. I haven't put my foot in a 8" boot yet that has the support of a comparable 10" boot.