Would anyone like to comment on the sonic result of powering a low current-draw component (like a phono stage) with SLAs vs. 'normal' zinc/carbon stack lantern batteries?

Does one have a higher output impedance ... which might cause current to be drawn more slowly than the other? If so, I would assume the slower current-delivery battery should sound less dynamic than the other one ... much like isolating transformers or mains conditioners are considered by some people to impede the dynamics of power amps?
Regards,
Andy