Surely the relation of the English to the Anglo is rather similar to that between the piano accordion and the button accordion(or melodeon).
The Anglo and the button are much easier to play dance music well on, because the in-out mechanism lends itself easily to bouncy playing. But that is not to say that it is impossible to play bouncy music well on the piano accordion or English concertina: it is just very difficult. Some exceptional people manage very well. The same discussion happens in Louisiana. Clifton Chenier managed a fantastic sound on the piano-accordion for his Creole/zydeco music, whereas the vast majority of his colleagues used melodeons for the same sort of thing.