Not quite - just pointing out that the calculation based on the number of charges can be misleading if you never get to charge the battery that number of times.
Simply, if you buy a new device and get a set of rechargeable batteries you only cost in if you recharge the batteries a certain number of times before the device and/or batteries fail or are discarded.
I've had rechargeables from the '90s go all crusty and fail and certainly didn't used them for the maximum specified recharges.
Intensive usage suggests rechargeables.
Intermittent usage can cost in for non-rechargeables.
It is easy to waste money buying something that will "save money in the long run" if you then under use it :-)
Cheers
Dave R