The thing with this is follow up studies trying to link this success statistically to any particular policies of the Democrats failed to find any correlation.
It should also be noted party does not=policy, as alluded to in the "Gingrich economy" comment. Clinton did have a small tax increase on the wealthy but aside from that largely continued Reagan era economic policy. So his success can't really be used to discredit the Republicans economic ideas. This is the president who gave us welfare reform and NAFTA.
Republican presidents tend to be elected during good economic conditions while Democratic presidents tend to be elected during bad economic conditions. The latter has much better growth potential while the former has far higher downside risk.
Also a good point.