I’ve answered questions like this previously, and the reason that the handles on coffee cups, as well as the
cups themselves, and perhaps the dishes made by the same manufacturer become hot in a microwave is because of improperly formulated glaze on the ceramic material. In my lab, as part of a class-action suit against a big-name dinnerware manufacturer whose dishes said “microwave-safe”, I found the temperature of the coffee cuphandles reaching temperatures of approximately 300°F, even when filled with coffee when microwaved. The culprits in the glazes are usually heavy metals.
Proper formulation has been known for at least 40 years, but much of this dinnerware is made in China and, for some reason, the manufacturers, most commonly small companies, simply have no knowledge of all the technology that was developed decades ago. When the proper formulations are followed, the dinnerware only gets warm, and often that’s due to heat transfer from the food that’s being heated in the microwave.