The House does that now, without a legislative mandate to itself.
Clause 7 of Rule XII requires that each bill or joint resolution introduced in the House be accompanied by a Constitutional Authority Statement citing the power (s) granted to Congress in the Constitution to enact the proposed law.
What Scalia's twisted logic was used for, was to enable law that SCOTUS found unconstitutiuonal decades earlier. It (SCOTUS) then allowed lower courts to misinterpret the precedent for decades. Thus the long standing application of law that SCOTUS had held to be unconstitutional, SCOTUS decided became constitutional because SCOTUS liked the law after all.
In partiucular the Miller precedent. But too, Presser was applied for the opposite of what it said, for decades. Legal academia and the courts are intellectually dihonest. Similar to so-called climte "science" and COVID "science," the people in power make it up and bury the reader in reams of prose.
Constitutional Authority Statements: Suggested Citations for Commonly Introduced Legislation (pdf link may not work with some browsers)
https://constitution.congress.gov/static/files/constitutional-authority-statements.pdf