If a state or territory has a legislative maximum of unemployment assistance, does this impact the amount that the federal government can provide?

Per the Presidential Memorandum that authorizes this assistance, the federal share for supplemental lost wages payments is fixed at $300. The state, territory and the District of Columbia may choose to provide all claimants either a $300 or a $400 supplemental payment. These amounts cannot be adjusted. The supplemental payment is not unemployment insurance; it is a supplemental payment on top of the applicable unemployment insurance benefit paid by the state, territory and the District of Columbia.