The entire US Navy at the outbreak of the War of 1812 can be considered a 'fleet' as it was the entirety of the US Navy. And that fleet amounted to about fifteen warships. And it has been mentioned in various volumes on the naval War of 1812 that the entire US Navy in 1812 had the strength of a Royal Navy squadron.
And the term 'squadron' during the War of 1812 for the US Navy was used as a subdivision of that 'fleet.'
There is a difference in military and naval terms and merely attempting to inflate the importance of a favorite naval officer of that period by using an incorrect and inappropriate designation for his command is incorrect and ahistorical.