At 40 hrs per battery, you're looking at about 250 batteries in total to reach the magical "10,000 hour service life" and if you were using the monocular full time, 40hrs per week,(5 nights x 8 hours) it would take just shy of 5 years to do this. A single quality lithium AA battery should cost under $2 per cell, and cheaper in bulk.
So, $2 per week for batteries, or $100ish per year is basically the worst case scenario as far as cost of usage is concerned.
The rechargeables and their charger are about $20ish for a four pack and charger. You would probably need to buy new cells annually as they wear out.
So you can save $80 per year by doing this, but you will risk your warranty, and if you corrode your battery compartment you will easily eclipse any savings, with a new battery compartment install probably running around $250-300 including the parts, diagnosis, labor, and repurge.
If you pop even one battery you are way outside of the "savings" zone, and furthermore, if you can afford to play with NVG's full time, the price of good batteries are just a drop in the bucket compared to time off from work, the NVG's themselves, the cost of weapons, the ammo expended, hunting tags... I could go on.
Just buy some good lithium duracell or energizer's in bulk from Costco and call it good. Keep em with your ammo fort.
ETA: as the frequency of use decreases, the potential savings do also, and IMO the risk of leaving one installed and corroding the battery compartment increases.