You're welcome! Besides that, note that the "Desired" frame contains a "Focal_participant" frame element which expresses the affected participant of the desire

You're welcome! Besides that, note that the "Desired" frame contains a "Focal_participant" frame element which expresses the affected participant of the desired event. For instance: Do [I Experiencer] WANT [him Focal_participant] [to see me Event]? If that FE is absent, we can assume that the Experiencer is affected. Thus, the analysis [The cat Experiencer] WANTS [to go Event]. does contain the same information as the AMR triangle in your article.