You say SasuSaku lives but how does it live? Just because it's a one sided love? Sasuke out right said he doesn't feel that way about her nor sees why she feels that way. Sakura started to like Sasuke just because he was cool, she didn't know anything about him until she learned about it through other sources. Sakura is to Sasuke what Hinata is to Naruto except Sasuke knows more about Sasuke and been through a lot with him where as Hinata haven't with Naruto. Sasuke only apologized to Karin about his actions as MS Sasuke, he said he doesn't care what K11 thought about what he did; he tried to kill Sakura 2x and Karin 1x and who does he apologize too?
Sasuke/Karin have better chances than Sasuke/Sakura like Naruto/Sakura have better chances than Naruto/Hinata.