It would certainly be a major surprise if the TUI/FCA company pulled out of BRS altogether.
In recent years around 1.3million to1.4 million charter pax have used BRS annually with the lion's share going to TOM and FCA and their associated companies. This is a lot of trade to give up.
As for Flybe's relationship with BRS, I am not in the business at all but I do have some sources and as soon as it was announced (last November I think)that Flybe would be taking over BACon there was speculation that BRS would fare badly.
It was the only BACon/Flybe airport at that time not to be specifically mentioned in Flybe's future plans, so they must have worked quickly to establish that BRS was a BA loss maker or would be a loss maker to Flybe.
Even before this there were strong rumours circulating around BRS that Flybe had taken the hump with the airport because easyJet had come in on some of Flybe's routes leading to the latter pulling out of them.
It is true that no other carrier has yet picked up the former BACon routes to FRA, MUC, DUS and ZRH, but those to MXP and CDG are now operated by the ubiquitous easyJet with Air France doing CDG as well at 3 x daily, and the former Flybe routes to TLS and BOD are also now operated by the aforementioned Orange Airbus.
easyJet is carrying at least double the number of pax that BACon/Flybe carried on these routes, and in some cases four or five times more, so one can only assume that with the right product these routes are not loss makers.
Indeed, Ryanair is starting a daily flight to its version of Milan (Bergamo) in November alongside easy's daily to Malpensa so, to an outsider at least, it does seem odd that Flybe thought there were not enough punters to make at least the Milan and Paris viable.
easyJet carried nearly 9,000 pax to TLS in July and over 8,000 to BOD (and well over 5,000 to nearby La Rochelle on what was not even a daily flight then).
It is probable that Flybe pulled out of BRS (except for the daily JER) for perfectly sound commercial reasons from its perspective, preferring to concentrate on nearby EXT where a Big Bad Orange or Harp was unlikely to trump its ace, but to give the clear impression that all of BACon's BRS routes were loss-making and that, if they were, Flybe itself would be unable to turn at least some of them around (and thus pulled out) is something that is still regarded with scepticism in some quarters around BS48.