In this article, I offer some empirical and conceptual arguments against two of Kayne’s (2013) main arguments against directionality parameters in the generative grammar framework, and sketch some alternative directions for future research, with a special focus on adjuncts. I will first show that the SONegV order in Korean observed by Whitman (2005) is not a valid argument against directionality parameters, because his analysis fails to account for certain scopal facts; and even if the scopal facts are not an issue, alternative analyses can be found without resorting to movement. Next I will show that facts about serial verb constructions do not constitute valid arguments against directionality parameters either. Contra Carstens (2002) and Kayne, I show that SVCs are not cross-linguistically constant with respect to the relative order of the verbs, and that an approach that allows right-adjunction can better capture the facts. In addition, I show that adjuncts have some unique syntactic properties with respect to directions that further corroborate the need for directionality parameters in grammar.