I did some calculating, based on the published curves and specs, a while back. In the stock circuit, the output impedance of a 5998 is 80% of the 6AS7 impedance - quite a small difference, in spite of what the difference might be at the operating points cited in the data sheets. I doubt the impedance is the reason for the sonic difference.
I and a few others around here have heard these tubes as straight amplifiers (preamps) with the output taken from the anode. In this case, the 5998 has a higher output impedance than the 6AS7, and the broad consensus is that it still sounds superior.
I wish I knew why.