The holonovel that Janeway was participating in was a gothic novel along the lines of one of the Bronte sisters. They were written in the Victorian era and influenced by Romanticism. Jane Austen is a product of the Napoleonic and Georgian eras. It was much more austere. Though her books are still lively as Miss Lemon and teacake have stated. For the record I think Janeway would be a fan of both. Indeed the above article about Mulgrew in Italy shows her interest in both(all four) authors. I also feel that Jane Austen is more difficult to recreate faithfully, maybe why we only saw Janeway in a gothic holonovel.
Perhaps the dodgy Romantic novel - which Austen satirised - is more appropriate to Voyager, with its regular forays into bathos and melodrama.