it's much harder to make $40k a year and write a check for $5k than to just get a net pay of $35k with the $5k never reaching your bank account. (note: No idea what income tax is at $40k)
PS: don't have an opinion if this would be a good or bad idea. can see it both ways
What you suggest is exactly how it worked before 1943 and there was a massive expansion of government, government services, and tax rates between 1913 and 1943.
The actual historical evidence strongly suggests this theory is spurious and easily dismissed.