SDT is oft-cited in academia but as a theory has somewhat isolated itself from our ‘less positive’ intrinsic needs. For example, we have intrinsic status needs; as well as fairness needs (which include with it punishing transgressors - ‘costly punishment’); and relatedness needs (which include as negatives‘negative’ behaviours such as forming outgroups from our intrinsic social categories).
These social needs are included in David Rock’s SCARF model, referenced from his book below:
Your Brain at Work: Strategies for Overcoming Distraction, Regaining Focus, and Working Smarter All Day Long - 2009