Its is certainly something that would fit the currently published BHD-CWL timetable, except that at present there is no evening CWL-BHD shown for much of the coming summer, although of course this could be rectified.
So if CWL gets the current BACon CDG 0840 and 1600 departures from BRS (and return flights of course), where are you suggesting the other three daily
BACon BRS-CDG rotations will go - SOU?
BTW, I thought that BE was more put out with easyJet at BRS than with the airport.
I don't know why they should be. Business is business.