There's a lot to unpack in this question! What is the amplifier being used to drive the horn? One of the reasons SETs are commonly used with horns as opposed to most push-pull amplifiers, tube or solid state, is that the latter usually use feedback, but not high enough amounts. The result is that the feedback adds higher ordered harmonics and intermodulations ocurring at the feedback node (re.: Crowhurst; we've known about this for over 60 years). These are easily heard on many horns, and is something that isn't that audible on SETs until you push them. But horn designers often need to be careful- the interface between the throat and mouth of the horn can cause trouble if not designed correctly. They don't sound fatiguing or agressive if designed and set up properly!
Clipping is easy to see, even with an SET, if you have an oscilloscope.
While I've no doubt the last sentence is true, the one prior to it simply cannot be, if this amp is class A, which I have to assume it is. Again, if an amplifier is class A,
by definition it has 0dB of headroom.
As you know that review was written over 20 years ago; it appears that Bascomb accidentally shorted one speaker terminal to ground in his test rig (which is a very easy thing to have happen, for example if the signal generator and 'scope are both grounded). If this happens, the drive to the output tube grids becomes unbalanced, and a significant 2nd order will appear as a result (along with higher distortion overall).
If your amplifier is SET and not running feedback (because that will improve the measurements...), then the chances are very high that I can. In fact I can also say that a fully differential push-pull triode amplifier using an output transformer built to the same level of competence as expressed in your amp will have lower distortion and greater bandwidth. With regards to the MA-1, it has full power to 2Hz, so has unmeasurable squarewave tilt (IOW, less than 1 degree of phase shift) at 20Hz. No SET can do that and so will have less impact (phase shift in the bottom octaves robs the amp of impact). If you look at the specs of your amp, while the bandwidth is specified as you say, it does not say whether we're talking about +/- 1/2dB or +/- 3dB, or what. That really opens the door to variance; they could be 6dB off and still say that. Have you seen any measurements? I'd be quite curious to know how it really does.
But there is also the issue of what is meant by 'better'
FWIW we've never specced our gear to measure all that well (although I feel bandwidth is important); we've specced it to not make the higher ordered harmonics, due to the ear's sensitivity to them. In that regard, a cubic non-linearity is desirable as both the even and odd orders fall off at a faster rate. This is due to how distortion compounds from stage to stage in any amplifier if not eliminated in the prior stage. I'm not happy that our amps make distortion, but if one is pragmatic one has to accept that its going to be there.
If you are referring to harmonics here, the ear treats the 2nd and 3rd the same way. The idea that the 3rd is hard is a myth; its the only odd ordered that isn't though.