The way Obama counts it doesn't but it actually does. All these people that have been dropped out of the system, which is why the numbers dropped, will suddenly be added back into the “unemployed” but in the workforce once they refile.
What they may try to pull is increase the participation rate from the current record low to equal the numbers of new filings to give an illusion everything is fine.
Yes, adjusting the labor force participation rate is the primary method to massage the unemployment rate figure.
But unemployment compensation does not count in the calculation.
I really am running out of ways to repeat the same thing over and over.