This study focuses on Estonian verb-complement structures, which include oblique (non-canonically marked) complements marked in spatial cases. Not all approaches agree on whether canonical arguments and oblique complements have argument status of the same type, but they do mostly agree that the two types of complement markings are used by different types of verbs. First, oblique case is viewed as always indexing the original semantics of the case (direct semantics), that is osutama ‘point at’ selecting an allative (‘onto’) complement. Second, oblique case usage is seen as referring to a restricted set of syntactic relations (indirect semantics), that is Estonian allative and adessive being used for marking Experiencers. In any case, oblique complement verbs are viewed as more semantically restricted than canonical object verbs. This study tests these two hypotheses in a quantitative corpus approach. In a non-semantically extracted sample of verbs (n = 232), it compares the lexical-semantic transitivity of oblique and canonical complement verbs in order to investigate the degree to which indirect semantic effects differentiate between the two types of verbs. In addition, it outlines direct semantic effects between oblique case frames in terms of semantic roles. Finally, it investigates the way these patterns are related to the cases’ individual grammaticalisation degrees.