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The instructions make quite a few statements that rechargeable batteries must not be used - conspiracy to keep Energizer profits up?
Familyman-
High drain.
Rechargeables are better at long slow drain unless you've got something like a 18650 which does the high drain rechargeable thing great (hence finding them in cameras, etc).
If it takes something like a AA then you'll typically get better performance from a non rechargeable lithium battery.
You didn't mention what format it uses. And idk why the battery dimensions produce different characteristics, it's chemistry obviously but my knowledge is limited to just ended consumer things picked up over years. If you want a high drain battery, short and fat beats long and thin for rechargeable, unless non rechargeable lithium based.
Velocio
Get yourself some decent rechargeable batteries. Eneloops are good.
But yeah, 2 days seems pretty bad. My eufy doorbell lasts months