If you rewatch the episode, watch the concluding fight. They were trading blows equally with each other, so presumably they had strength levels very close to one another. Not sure about Aresia being able to fly.
I know in a later episode, Ares or someone activated something on Wonder Womans costume so that all her items were now functional. I think what this did was activate her lasso so that she could now use it as a lasso of truth rather than an indestructible piece of rope. My memory's a bit fuzzy on this, but I think this is essentially what happened in the animated Justice League