The "Spent Petroleum Catalyst Recycling and Critical Minerals and Metals Recovery Exemption Act" aims to support the domestic recovery of critical minerals, such as vanadium, from spent petroleum catalyst to reduce reliance on foreign sources like China and Russia. This bill calls for the revision of regulations under the Solid Waste Disposal Act, exempting units reclaiming valuable metals from spent hydrotreating catalyst and spent hydrorefining catalyst from petroleum refining operations from certain requirements. The bill emphasizes the importance of promoting the recovery of valuable materials, and it requires the Administrator of the Environmental Protection Agency to promptly revise the regulations without following the notice and comment requirements under section 553 of title 5, United States Code.