Now, these higher amp batteries will have a smaller mAh rating, meaning they will not last as long as a higher mAh battery. Using a high amp battery with normal resistance coils is overkill and not their best application for this purpose. You can't have your cake and eat it too when it comes to batteries; either higher amps or higher mAh.
The high mah may help in less than 1 amp drain which isn't so useful for vaping. Odds are, high drain lower mah will provide longer vape times on most coils.
A high mah may drive a low performance small LED low lumens flashlight longer but not a high perfomance cree LED flashlight.