The batteries I use can be recharged from 500-1000 times before they need to be thrown in the recycle bin.
I share your enthusiasm for NiMH batteries-I routinely use about 40 or more batteries. Mostly AA, some AAA.
However, while it is true that manufacturers
say that the batteries can be recharged hundreds of times; the fact is that those statements simply aren't true. More realistic numbers are 50-200 cycles, assuming quality batteries and quality chargers. For most people reading this forum, that still represents a very long period of use!
It depend on what is considered a cycle, and also what one judges as acceptable performance from a battery. In addition to charge/discharge cycles, there are many other factors which determine battery life.
But, yes, NiMH is a very good way to go for most, but not all, applications.