My thinking:
BALL is interesting idea, but how with it in practice? Couple questions come to mind:
- how/where to carry it so you can throw it very easily?
- if avalanche surprises you, do you even have time to throw it?
- can some ice chunk in avalanche puncture it? will it then "sink" in avalanche?
- how long cord? longer it is higher chance it tangles and goes with you under avalanche...
- still need at least shovel from mandatory gear (or those searching you): on average buried at 1-1.5m depth and you can forget digging by hand, especially if snow is a bit compacted (personally checked on avalanche course - even with shovel takes eternity, bare hands no chance...)
- and more could be found...
BEACON:
- just one comment: "if you have it, learn to use it..." in my opinion no problem to take half hour break on every tour and practice a bit (at least I do)
Otherwise always together: beacon, probe, shovel - one without others helps almost nothing...