Since that implication is generally incorrect, I understood that such usage was discouraged, in general. It lacks the powerful, almost poetic, flow of the original split-infinitive way. Obviously, I'm not trying to tell you whether you should split infinitives or not. I just think that the primary function of language is to express thought and feeling. We do not belong to language, it belongs to us.
Language is a tool of the people.
It is our workhorse. And when a word or phrase needs inventing or modifying, the people shall make it so. Poetry and aphorisms are well-known for bending the rules of grammar. This hardly seems a very adequate justification for dropping the reluctance to split infinitives altogether. I don't feel overly dogmatic about splitting infinitives, but I certainly want to discourage that usage.