What Biden has done is to cut the issuance of drilling leases to the minimum required by law, pass the Inflation Reduction Act, enact a regulation to force vehicle electrification, and similarly force fossil fuels out of most power plants.
What Biden has not done: stop issuing drilling permits or impose export restrictions on fossil fuels. The former has some serious limits because of how the courts treat the right to drill as a property right once you hold a drilling lease, and the latter is simply untested.
Even by your linked article’s admission, that was kind of inconsequential:
So the companies had the permits for 4 years and never did anything with them, to the point where Chevron cancelled their own leases. And the leases will be auctioned off again next year.
So yeah, while I think Biden is the most progressive president since FDR, his record on oil drilling isn’t so great.
Edit: fix the order of some quotes.