The bmi regional marketing director gave a press interview recently where the proposed rebranding to bmi next year was given prominence. Of perhaps greater interest to airports such as Bristol was this quote:
We're also looking to work closer with some of the big European carriers and may look to feed some of the European carrier networks.
Doesn't specify exactly what is in mind though.
TravelMole - News
As for Helvetic, a look at the airline's website shows no booking availability on any of its routes after the end of October (ie the routes it operates itself not those its aircraft operate on behalf of Swiss).
The BRS website carries prominent advertisements for Helvetic to Zurich this winter but there are no days or times of operation shown - the BRS website seems to be displaying last winter's Helvetic schedule.
A poster on another aviation website emailed Helvetic about three weeks ago asking about BRS winter flights and received the reply that the airline was still working on its winter schedule that should be ready within two weeks. A week beyond those two weeks and there is still nothing shown on the Helvetic website.