Alkaline batteries don't give anything close to constant voltage over their life. For most cameras, you cannot use them and expect consistently accurate metering response.
Some Pentax cameras are an exception, because their metering circuits aren't as voltage dependent.
Zinc air and silver oxide are give much more consistent voltage throughout their life. The zinc air batteries have much shorter life than alkaline batteries, which have much shorter life than silver oxide.
Generally speaking, the silver oxide versions are much more expensive. If you are seeing batteries at the Corner Market, they almost certainly aren't silver oxide - they are alkaline or zinc air - probably alkaline.
Some metering circuits will function correctly with batteries that offer a voltage that is close but not the same as the voltage they are designed for, as long as that voltage is consistent. Those circuits can compensate for the incorrect voltage by adjusting the film sensitivity.
Many metering circuits either don't function, or become non-linear if you attempt to supply them with the wrong voltage.