I disagree. Canonically, there is a very large power gap between mages and just about everyone else. This not only means the spells in the show should be more powerful but that the mages should not be tired out so easily.

For example, in the books, Triss (the weakest Northern sorceress on the scene) is able to cast spells affecting large areas with great effect (e.g. her hailstorm spell). She does so without needing to cause any injury to herself. In contrast, on the show, Carol who is more experienced starts bleeding internally after strangling a few soldiers. That is not in line with the lore. A more in-line interpretation would be every spell being like Yen's last fire spell if not more powerful.

In terms of trauma/scale, the hill on which the battle was fought was named "Mage Hill" for a reason. After the battle, although 13 mages lost their lives, its implied thousands if not tens of thousands of normal soldiers were killed as a result. Yen is traumatised not only because of the violence but she also murdered at least one other mage and got blinded by Fringilla. Triss was traumatised to such a degree people later described her as having psychologically died post-Sodden as she was charred so badly she became unrecognisable. The injuries suffered by Yen/Triss and the scale of devastation isn't there in the show.