Do memory foam pillows sleep hot?

Standard memory foam does trap heat, and community threads on r/Mattress and r/BedroomBuild repeatedly flag this with solid Tempur-Pedic blocks in particular. Shredded-fill designs breathe noticeably better than solid foam, and gel- or phase-change-treated covers (as on the Tempur-Cloud Dual Cooling) help further, though no memory foam pillow runs as cool as down or latex.