Competency Questions (CQs) are not merely intended for scoping the prospective content of an ontology and as information-seeking queries posed over an ontology, but serve manifold purposes in the ontology engineering processes. This position paper argues that CQs should be viewed as complex acts with underlying motivations beyond just eliciting facts. We explore the concept of questions in general, drawing on philosophical and logical perspectives to highlight the complexity of questions and how they function beyond information seeking. This understanding is applied to CQs for ontologies, revealing how they can serve various purposes in ontology development, such as knowledge acquisition, knowledge organisation, and validation. The paper also introduces the notion of types of CQs for ontology engineering and a first taxonomy of CQ types. Having identified different types of CQs, it may assist research into devising more specific methods and tools to support the development of CQs—be it manual authoring or automating it—and their use at various stages and tasks in ontology engineering, as well as contribute to a notion of quality of a CQ.