Naming a picture (e.g., “duck”) in the context of semantically related pictures (e.g., “eagle”, “stork”, “parrot”) takes longer than naming it in the context of unrelated pictures (e.g., “knave”, “toast”, “atlas”). Adaptive models of word production attribute this semantic interference effect in blocked-cyclic naming (BCN) to an adaptive mechanism that makes competitor words (e.g., the semantically related word “eagle” for the target word “duck”) which are activated but not selected for production less accessible for future retrieval. Results from a recent picture-word-interference study, however, suggested that alternative names (e.g., “bird” for “duck”), might be exempt from this mechanism, challenging adaptive lexical processing as a general mechanism (Kurtz et al., 2018). We tested whether converging evidence is obtained in BCN. In Experiment 1, we embedded pictures responded to with alternative (category) names (e.g., “bird”) into contexts composed of pictures responded to with specific (exemplar) names (e.g., “duck”, “eagle”, “stork”, and “parrot”). If alternative names are exempt from adaptive lexical processing, interference in the homogeneous context should be found for specific name items but not for alternative name items. In contrast to this prediction, there was similar-sized interference for both types of items. In Experiment 2, we replaced the alternative name items with unrelated items. For these items, interference was largely diminished, ruling out that the effect found in Experiment 1 is a general set effect. Overall, our data suggest that alternative names are not special with respect to adaptive lexical processing.