Also, Zemo should watch that controversial interview with Liam Neeson where he said that about 20 years ago, when a female friend of his daughter (or something like that - I can't remember the exact details) was assaulted by a black man, he was filled with rage. He expressed how he wanted to go out and kill or seriously injure any black person he could find regardless of whether they were involved or not. However, he later realised he was wrong and was shocked at his own feelings.
Now isn't Zemo like Liam Neeson was 20 years ago? Yes, the Avengers had a hand in destroying Sokovia. But does that mean now he should take his vengeance out on all super powered beings regardless of whether they were even involved in the destruction of his own country?
Imagine it were not the Avengers who destroyed Sokovia but the Japanese who bombed Pearl Harbor. Now many Americans were understandably angry at them but that resulted in racism towards any Asians who weren't even involved, regardless of whether they were even Japanese. Or think about Covid-19. Some people are racist towards any Asians irrespective of where they're from or whether they have even visited China or not. Zemo seems to be like them, except here it's not quite racism (because it's not about race) but some other "ism" - whatever term you'd use towards super beings.
Obviously the little talk Black Panther had with Zemo at the end of Civil War didn't have any effect on him.