NiCad and NiMh Have Different Charging Characteristics
Little that I remember from a number of years ago when NiMh's were just hitting the scene and I was contemplating much the same as you are now is that their charging regime is very different than NiCad's.
NiCad's build up an internal resistance as they reach full voltage and they stop taking the charge even though the wall charger doesn't shut off. Plug in the charger, walk away, and the battery generally will charge OK.
NiMh's continue to accept a charge at their max rated voltage of appx 1.4v (that's 1.4 volts per cell). If current is still being applied when they reach 1.4v, they tend to overheat as their internal voltage increases, and the battery function is permanently lost. Some of the very early budget NiMh trickle chargers (very low amp rate in relation to the battery size/capacity) tended to detect only when the full voltage had been reached. Then they stopped the charging. These days the chargers are sophisticated ("smart"). They detect how the battery is accepting the charge and adjust and pulse the current/voltage which allows faster charging and is also necessary to prevent damage to the battery.
More info can be found at the following links:
http://en.wikipedia.org/wiki/Nickel_metal_hydride
http://en.wikipedia.org/wiki/Nickel-cadmium_battery