I plan on having super moves as well! Ideally, the player will have to make conscious decisions on when to use them, as the MP economy is limited.
But, basic attacks actually do less damage for me on average. In the code, their hit modifiers (also decides the crit rate) are low and often fail to go over the enemy's defense. Perhaps you've been getting lucky then!
I've made a quick update to the game to make the dungeon exploration snappier, if you want to give it another shot :D