Epson has designed many of their models to power down quickly so they can be unplugged from the wall if needed right away without damage to the projector. If there is a mode for a long cooling period, that would be detailed in the owner's manual, which is worth reading through if you have not done so.
https://www.projectorcentral.com/pdf/projector_manual_10631.pdfAV Integrated - Theater, whole house audio, and technology consultation during the build and installation process in the Washington, DC metropolitan area.