Oddly enough, I tend to go the other way. I usually install the largest battery that will comfortably fit in the carrier. I work on the principal that should I ever break down, I can still drive it home on the starter.

Well, OK, I lied about the starter.
Within reason, the greater the battery capacity, the less the overall drain when you hit the starter & the less it takes to bring it back up to voltage again.
With a lower voltage drop when under starting loads, there is more voltage available during the cranking period to spin the starter faster & also to fire up the ignition.

Generally speaking, all things being equal, the larger battery should have a longer service life & I like to see if I can get about 4 or 5 years or better from my batteries. So far so good in that department.

The extra weight should not affect performance noticeably in a street car.