In my experience radio battery life does not correlates with the price.
In fact more powerful unit will drain battery quicker if used a lot for transmitting.
Consumable radios are 0.5W in UK mostly and will do very well on climbs. Personally I use a pair of Motorola T80 for sport and and alpine. Just because cheap and waterproof.
Worth to note batteries will loose charge quicker lower temperatures are. Depending on chemical element used it can be noticed starting from just 10C. NiMH and Alkaline are virtually loose 50% or even more at -10C. Lithium works better and can still perform all the way until -20C. Lower everything becomes much more complicated.
But even at 0C battery (and radio) will perform much better if you have radio under your jacket and use earpiece for communication.
P.S.: Another thing worth keeping in your mind is voltage of batteries. Rechargeable NiMH are always 1,2V in form of AA or AAA. Alkaline and Lithium are 1,5V. So 1Ah NiMH battery would give away 1,2Wh while same 1Ah Alkaline is capable of 1,5Wh.
Post edited at 10:55