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https://www.cdph.ca.gov/Programs/CCDPHP/DEODC/CLPPB/Pages/Q-A-Lead-in-Tableware.aspx
There is nothing in that page you linked about lead causing plates to get hot. Also, you know nothing about the plate age or composition. Lead glaze is irrelevant to plates heating, and not all existing dishes have lead in them.
Google must be really hard for you. I bet you think the moon landing was fake too.
https://pubmed.ncbi.nlm.nih.gov/8854945/
Bye now.