Earlier quoted context omitted.
Thanks for the perspective! I guess it depends on the outcomes in question If they're measured by traditional academic metrics (parsing, recalling declension tables, translating into English), then Wheelock's grammar-first approach really does optimize for that. On the other hand Ørberg optimizes more for reading fluency and intuitive comprehension, which is harder to measure on a standard Latin exam.
Intuitive comprehension works much better for Medieval Latin, like that used in the scientific publications of the 16th/17th/18th/19th centuries, i.e. the kind of Latin that would be used by people like Newton or Gauss. Medieval Latin is influenced by the modern European languages, so it uses a similar word order and similar methods for expressing various things. On the other hand for Classic Latin, e.g. for works wr…
I can recommend the Lewis&Short that is Latin-English.