Every time I get home or when I reach my destination (and opportunity available), I always prop up the hood to let the engine cool off, and also let the battery and other parts cool down quicker. Hot acid is more reactive than cold acid and I like to think this would prolong battery life a little. Don't batteries in the colder northern states last longer than those in southern Florida, California and Texas?
Finally, and most importantly, I pop up the hood so I can make a visual inspection of the engine at the end of a run. Over many years, this practice has saved me from more extensive engine damage as I have on many occasions detected quite early coolant leaks from bad radiator hoses, busted radiator cap rubber gasket, leaking power steering hoses, leaking cylinder head gasket, drive belts with deep cuts, etc etc in the many cars I've owned over the past 3 decades.
Finally, and most importantly, I pop up the hood so I can make a visual inspection of the engine at the end of a run. Over many years, this practice has saved me from more extensive engine damage as I have on many occasions detected quite early coolant leaks from bad radiator hoses, busted radiator cap rubber gasket, leaking power steering hoses, leaking cylinder head gasket, drive belts with deep cuts, etc etc in the many cars I've owned over the past 3 decades.