In reply to Womble:
Personally I’d get different ice axes for different activities. You could get one axe for ski mountaineering and alpine climbing. Although ski mountaineering axes tend to be light and less robust, but they have the right pick for ice axe arrest like alpine axes. Alpine axes are often harder wearing and a bit heavier and not unusual to get them a bit longer as it can make them more comfortable for stability on slopes.
Modern climbing axes have an aggressive pick and curved handle and are less good for general mountaineering mostly as they are short, less easy to plunge the base in snow and the picks are not as good for self arrest as they are too aggressive and the chance of the axe being torn from you is quite high. They also tend to be quite heavy.
. I’d personally start with a reasonably light weight alpine axe that should be fine for ski mountaineering. I went for a T rated Grivel air tec Evolution for alpine climbing. It’s very good and robust but maybe a bit heavy for your needs.
If you intend to climb ice or mixed the bandits sound good. A pair of these and an alpine axe should cover your needs better and not be a much different price to a pair of sum teccs.
Post edited at 06:13