We enrich the choice task of responders in ultimatum games by allowing them to independently decide whether to collect what is offered to them and whether to destroy what the proposer demanded. Such a multidimensional response format intends to cast further light on the motives guiding responder behavior. Using a conservative approach to type classification, we find that the majority of responder participants choose consistently with outcome-based preference models. There are, however, few responders that destroy the proposer’s demand of a large pie share and concurrently reject their own offer. According to our data, this result can be explained by a concern for moral integrity rather than by a strong preference for equality.