No, its not a tax cut.
The excise tax is collected by Treasury, who turns 100% over to US FWS, who deducts an administrative fee(5%), and is then granted back to the states to enhance hunting. For all practical purposes it a user fee that hunters are pleased to pay.
The money never entered the treasury or general fund.
In addition to Pittman Robertson excise tax on hunting, there is also Dingell Johnson excise tax on fishing equip and supplies that works the same way. Also another on outboard motor boat fuel and another on large watercraft fuel.
Mis-application of the excise tax happens fairly frequently and has to be "fixed" by Congress
That’s interesting, thanks.