Can you ent to an axiom that you despise if it has more explanatory force than others?

A bit vague. An axiom by definition is regarded as being established or self-evidently true and thusly cannot be looked at through a pretheoretical lens. To disagree is your right and an ertion of opinion or, as you put it, taste. An opinion is debatable. I can't imagine waiting around for a new theory or axiom to come along and encomp your opinion on the matter, whatever it may be. If the axiom is hateful, the hatefulness is established and therefore truistic. Scientific? I see no relevance. The components of your inquiry (benign A, hateful B and mysterious C) seem too arbitrary to consider scientifically.