Yes they want get rid of bad emotions. The good emotions relate ( depends on sources ) only about Virtue or what partakes in Virtue.
In a strict sense only the Stoic Sage has good Emotions, all others only propatheia( bodily unconscious Pre-Emotions) , and bad Emotions. Whereby there are text quotes from Epictetus and Seneca that progress to Virtue means also progress to good Emotions ( Eupatheia ) but don’t know what that exactly means.