The second type of game was generally referred to as "Action-Adventure" to differentiate it from games like Monkey Island.
They're separated from just 3D platforming games by generally incorporating some aspects of adventure games such as inventory management and puzzle solving.
I remember in KOTOR 2 your character has a dialog option that calls out the banality of the evil choices. I forget the exact words, but basically your character laments the opportunities they are provided beyond basic cruelties.
Found it cuz it was bothering me:
"These small acts of cruelty bore me - to take money from others, to insult them, to threaten their lives. "
"I command the Force, and yet these small cruelties are all life presents me with. "
THPS 3 should have reverts, it was the first with them I thought