It is not completely wrong as you suggest as government is political and the Presidential administration is referred to as government by shorthand by the people commonly. Similar to how people say "America" rather than the official name of "United States".
The Supreme Court is independent of the administration (Executive). That is correct.
From uscourt.gov:
"....independence of the judiciary from the political branches of government."
This is what I'm talking about which explains the reference to Biden.
Congress has some discretion in relation to the Supreme Court. For example, Congress (Legislative) set the number of Justices which isn't in the constitution itself. It's been nine since 1869, but has been as low as six.
At the end of the day, the decision was made by the USSC and the OPs statement is a non-starter. The USSC is the final arbiter of the interpretation of law in the United States of America.
From supremecourt.gov:
"As the final arbiter of the law, the Court is charged with ensuring the American people the promise of equal justice under law and, thereby, also functions as guardian and interpreter of the Constitution."
Only the Supreme Court judges are responsible for the ruling of the Supreme Court.