In 1993 in college I used a switcher because I was living in dorms and or apartments. Luging a linear steel core supply was expensive and awkward. I had to move out of the dorms ever 10 weeks. A 35A switcher powered my RCI2950 and 1 to 2 transistor amp just fine.
It was common for guys to use deep cycle batteries and an actual battery charger not mainter in the 1980's and very early 1990's but as switchers come on the market they disappeared quickly.
Today with the advent of cheap chinese made switchers no one in a home environment uses batteries much today it went from fairly common to rather rare.
I much prefer people have 1 switcher for the radio and 1 or more for amp if going cheap on the switching supply.
If we are talking about old school bipolar amp then figure on needing ball park 20A per transistor assuming you are not a made man running his gear to the raged edge.
Most power supplies marketed as 12V are actually 13.8 nominal and most will be adjustable from 12.5 to 15 volts. The thing is most of them if not all of them the rated amperage drops as you turn up the voltage. So if it is say rated at
35A@12.5 volts and you crank it to 14.8 it might only get to 25A before it trips the protection circuit.
On the topic of harming anything no it will not harm anything to be at 12.5V instead of higher. You will produce less power and draw more current as the voltage decreases. That said with the demise of the American made and Japanese made transistors the Chinese made ones of today really can not live long lives at 15V or above on a 12V to 13.8V device. Gone are the days of running 18V-26V into a Toshiba 2SC2879 while shouting something stupid like "Worldwide...Worldwide..Worldwide". Likewise the days of driving the snot out of a big box with music for 5+ minutes are gone as well if you have a box with Chinese transistors in it! Well that is assuming you want it to last!
Also the last 3 years have been hard on all things radio related and the rating on cheap chinese supplies is not to be trusted. A current cheap 40A supply is maybe a 20A continuous supply where just 2 years ago the rating on the supply was fairly accurate!
With a the advent of Chinese smps it pays to get double the continuous rated power as you actual need. Just like when I spec out materials for anything I am going to have made in Mainland China I specify a higher grade material than I actual need knowing they will cheapen the specifications. Keep in mind the rating on these units are surge not continuous!