As best we can figure, when Bascomb did that measurement 23 years ago, he grounded one of the speaker terminals. This is very easy to do with most test equipment! That unbalances the drive to the power tubes so distortion takes off pretty fast. Typically the MA-1 can make about 1% at full power and if you are careful with the tubes you can get it down to 0.5%.
To properly measure the distortion you need a differential probe at the least so you can look at the balanced output.
I've read that paper before. It has errors. One of them is they didn't explore the impact of the constant current source, so didn't investigate topologies of the CCS as a result.
The means they used for feedback is degeneration resistors, which really messes with the ability of the differential amp to actually be differential.
Having worked with differential amplifiers for 40 years, I can tell you the way you set up the CCS and then set the operating point has an enormous effect on the resulting circuit. The better the CCS, the better the diff amp performs and you can't have that performance if there are degeneration resistors in the circuit.
You might also note that the paper is based on simulation rather than actual tubes and so the tube type, which has an effect as well, isn't specified as there isn't one. This paper was an interesting read until I realized that it really doesn't pertain to real life.