Yes, just as he needs to cough up more taxes at the end of the year to pay his income tax.
FairTax was not meant to be a tax reduction.
There will be some reduction in prices, (approaching the size of sales tax) as the embedded tax all the way down the production chain will be eliminated, along with the cost of preparing those taxes.
It not a tax rise. Its not a tax cut. It is carefully designed so that the the overwhelmingly vast percenage of people will pay the same tax as now, but without an IRS to deal with.