Personally I would suspect the charging circuit rather than the battery. I normally do 2 x 3 miles, Monday to Friday, and even when I do that for several weeks without a long run in between, I have never had problems until the battery reaches the end of its life. I also sit with the radio playing for a spell every day while I wait for my wife. I also wash the car every couple of weeks, and it stands for an hour with doors and/or tailgate open, while I do so.
I have never regularly charged a car battery throughout my motoring life (never had a garage near to my house), and, even in the days of generators and batteries with caps for topping up, never experienced problems. At least not until the battery had reached a fair old age.
I did once have a problem with a new battery which had been fitted by the RAC. It was a universal type, and the mechanic tapped on the required round post for my Vauxhall, on to a square posted battery. The RAC came out, sorted the poor connection between battery and post, and I never had any further problems with it.