Most random battles aren't all that interesting, due to the very low difficulty level and the glacial combat pace, with things moving too slowly even at the highest possible battle speed. (wccftech.com)
The enemies do get progressively more difficult so they offer a challenge to everyone, with the ability to lower the difficulty level if you find it a little too hard. (squarexo.co.uk)
You can just press one or two buttons though so «button mashing» on lower difficulty levels will work. (engagedfamilygaming.com)