Alkaline cells are fine for everyday use in low price appliances.
Rechargeable cells have their merits, but remember that the means of charging may not be available in an emergency.
L91 lithium cells can be simply stored away and ignored and work reliably 20 years later. And might well work after 40 years, but don't count on that.
Alkaline cells are obsolete,IMO. I have been replacing them with rechargeables (NiMH and Lith-ion) over the last few years with completely satisfactory results.
How to recharge? In the unlikely event of widespread, prolonged power outages, especially in highly developed California, there are feasible alternatives - at least for most battery powered devices (phones, lights, GPS, etc).
Aside from dedicated generators, you have motor vehicles, easily equipped to charge batteries. Going beyond that, get solar panels. I have kept all my stuff running for up to a week in isolated field situations with a moderate size panel which I could back pack, if necessary. Power banks are another option, very sensible, depending on situations.
primary lithium batteries are defintely useful, but shun alkalines!