Alexios may be nasty, but he does have high agreeableness, he is polite, socially adaptive and he almost exclusivally expresses hostility through passive-agression, as for Cato he is a disagreeable, but he is also Thinking type, i don't bother specifiying when Thinking types have low agreeableness because that's what's expected thanks to the likes of 16Personalities
correct, but thanks in part to general stereotypes in the Jungian Typology community, and partly due to 16Personalities mixing MBTI with the Big 5, Feeling is often conflated with the trait Agreeableness, as a result, agreeable Thinkers like Alexios often get mistyped as Feelers while disagreeable Feelers like Cassius, often get mistyped as Thinkers (I mean in PDB they are typed as ISFJ and ESTJ respectively)
so I feel the need to specify when either is the case because I don't want to deal with repeated shallow arguments that boil down to "this character is too mean to be a Feeler/nice to be a Thinker"
and fyi, I'm a Thinker too, ISTJ with developed Ne