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"...ubiquitous push-pulls (aka class AB) designs ..."
I trust you are not an EE. I hope not, or you should be fired.
Output stage design (SE vs PP) has *nothing* to do with class (A/AB, etc.) You can use either for class A, and in fact the CMR aspects of a push-pull class A, and the ability to use smaller output transformers since there is no static DC offset in them, are considered advantages of such a design.