I don't think it is a subcategory I think it's the term you're looking for.
The actual phrase has its origins in a financial sense but the way it's used nowadays is much more broad. You can invest time, money, emotion, identity etc and it's still the "sunk cost fallacy" if it keeps failing and you keep going.
It really doesn't upset conservatives. They see this and acknowledge it as the affirmation that it is that libs like you are triggered by their epic president and have no argument so you have to resort to name calling.
They do the same thing back to you and you conclude they can't understand words with more than 3 syllables back at them.