First, it isn't evident from your graph that
"tax receipts flowed into the treasury was greater after tax cuts than after hikes." Using your graph, the period 1982-2000 looks pretty much like a straight line -- even though the periods had both tax increases and tax cuts. I have to point out that while Reagan cut taxes initially, he undid many of those tax-cuts in later years because of the deficits that they created. It is undeniable that Bill Clinton's tax increases rose revenue by 41 percent gain from 1992 to 2000 was sharper than the growth under Reagan.
Second, once again, these figures should be adjusted for both inflation and population growth, which tend to increase revenue regardless of tax policy, which is illustrated perfectly when evaluating Bush. Revenues did not increase after the tax-cuts. See below:
In nominal, non-inflation adjusted figures, revenue fell from the 2000 (pre-tax-cut) amounts all the way through to 2004.
Adjusting those figures for inflation, and we see that after the tax-cuts, revenues were lower than the 2000 peak through 2005.
Adjusting those figures for inflation and population growth, and we see that after the tax-cuts, revenues never reached the 2000 peak.
Thus, there is no evidence that the Bush tax-cuts increased revenue. Any increase years after the tax-cuts were enacted was the result of inflation and population growth, not the tax-cuts.