The Moore (C-2-C-7) cyclization and the alternative C-2-C-6 cyclization of enyne-ketenes belong to the family of biradical cyclization reactions such as the Bergman reaction of ene-diynes, both the cyclizations of enyne-allenes and enyne-cumulenes. The latter garnered substantial interest due to their antitumor efficacy, The mechanisms of both cyclization modes of enyne-ketenes are still unclear, but as the enyne-ketenes can formally be regarded as heteroanalogues of enyne-allenes, both cyclizations are expected to react via biradical routes. Nevertheless, as shown recently for cyclic allenes, the substitution of a methylene group by oxygen can lead to different energetic ordering of the electronic states of the key intermediates. To elucidate the mechanism, the present work investigates the course of both cyclization modes for various model compounds. To reveal general motifs for the large family of biradical cyclizations, a comparison with enyne-allenes is performed.