It can make a difference in the device. Devices like cameras are designed to use a certain voltage at a specified current. If the voltage drops then the device uses more current to make up for the difference, killing the battery faster. So comparing a alkaline at 1.5V to the same capacity rechargeable isn't valid because the 1.5V will always last longer. You need a higher capacity rechargeable for it to be equivalent to the 1.5v.
Use the old amps x volts formula for a quick comparison.
1.5v , 2800 mah alkaline battery = 4.2 watts possible power from each battery
NiMh 1.2v , 2800 mah rechargeable battery = 3.36 watts possible power
Notice they like to sell rechargeable batteries as 2800 + mah to make it seem to compare to the alkaline, but they don't mention the voltage.
It would take a 3500mah NiMh to equal a 1.5v 2800mah alkaline. That will never happen with NiMh as the battery size would be too large to work in devices.
They also use other tricks , like Energizer was selling rechargeable D batteries. On the inside was a plastic holder with a C cell inside.