I don't know if you'll get an answer from Sekonic other than "we don't recommend it." I agree with the other poster that if your goal is saving money, I generally change my light meter battery once a year if it needs it or not (usually not, but I do anyway to be safe) and I use the pocketwizard card which should drain the battery quicker. Rechargeables would need to be recharged every couple weeks, not just because of their lower capacity but also their tendency to drain even when not being used.
It would be an interesting study to determine which is worse for the environment to buy one new battery each year and recycle the old one or recharging a reusable battery 26 times a year. How many recharges are the recharbables good for before they deteriorate?
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~Kurt