Alkaline batteries
start at 1.5 V, but they do not stay there. They are 1.4 V when they have discharged by about 10%. When they have discharged by around 30%, they are at 1.3 V. When they have discharged by around 60%, they are at 1.2 V. By 90%, they are down to 1.1 V. By 95%, they are down to around 1.0 V, and they pretty much nosedive from there.
NiMH also drop as they are discharged, but the curve flattens out for much of its range. A good charger should charge an NiMH to around 1.4 V. After about 10% discharge, it will be down to 1.3 V. By 30% discharge it will be around 1.25 V, and it stays around that until around 80% discharge. From 80% to 90% it will drop to around 1.2 V, and from there it will drop to around 1.0 V at around 99% discharge, and then it falls off a cliff.
Devices designed for alkaline batteries are designed to run fine on anything from around 1.0 or 1.1 V through 1.5 V, and so should be fine with NiMH, except if they have a battery remaining indicator that is hard wired to assume alkaline it won't give accurate estimates for NiMH because of the different shapes of the discharge curves.