They won’t be brighter, at all.

See, alkalines have very high internal resistance.

That means for anything over 50-100mA, they lose a ton of capacity and a lot of power.

Also, their discharge is more of a linear curve, as they fall very quickly down from 1,5V, while NiMH stays at 1,2V average voltage for the entirety of the discharge.

TLDR: LSD NiMH cells crush everything alkaline does, even matching it in long term self-discharge.