Paralleling tubes or going push pull can increase power but also can muddy the sound.
The word 'can' in the statement above prevents it from being false. Going PP can also **decrease** muddiness by decreasing distortion. The trick is to not combine PP circuits with single-ended. Otherwise you get some emphasis of the 5th harmonic (this is old news; Norman Crowhurst was writing about this 60 years ago...).
A fully differential amp (with no dedicated phase splitter) will have dramatically less distortion than a single-ended amp. The harmonics generated will fall off at a faster rate as the order of the harmonic is increased as well. But it still falls off with an exponential decay, which is what you're looking for if you want the amp to sound right. The difference in overall distortion can be dramatic- as much as 3 orders of magnitude lower for a given power output; about 1 magnitude lower for a relative output (IOW if both amps are driven to clipping). That translates directly to increased detail and smoother presentation.