Thank you for your comment below.
I think you're pretty much right, and this approach would suit quite a few students. I think having the text available is important for many learners - epsecially for new vocabulary, maybe for pre-audio, or post-audio study or review, but not together at the same time, as you suggest works for yourself.
I also think that the language gets into your head better without exposure to too much text. You need the language to read ther text, but you don't need the text to learn the language. Sounds trite, but there is an entire methodology in there.
The problem we have with Latin, is that the surviving literature is all pretty developed, and demanding. Exposing a new student to these texts woud be as absurd as exposing a first year French student to Rimbaud or Moliere.
Furthermore, not every student, if left to their own choices, will necesssarily choose a study method that enhances learning. On the other hand, different students do learn in different ways, as the NLP psychologists Grinder Bandler [sic?] et al, are always banging on about, people have biases towards one sensory system or another - some visual, others auditory, and yet others kinaesthetic. I don't know of anyone with an acute olfactory bias, but it must exist (as in that movie 'perfume').