Perhaps there are richer pickings elsewhere for Ryanair this winter, as MV says, it's been year round since 2008, although I think it was possibly once a week in the winter (?)
It was 2 x weekly in winter (Mon and Fri last winter) and 4 x weekly in summer, although in some years an additional weekly rotation was operated in August.
Peak summer monthly load factors are usually in the high 80s/low 90s per cent but winter can often be as low as 60 per cent. None of this tells us the yield of course but the winter loads would probably have to attract high fares and/or sympathetic treatment from airports to make them viable so perhaps no surprise that it's gone. BRS, like many regional airports, has been seeing a continuing widening of the gap between winter and summer passenger numbers overall (ie with all airlines) in recent years.
I would expect Beziers to return next summer.
The village of Wrington (in whose parish BRS lies) instituted a twinning with Villeneuve-les-Beziers on the back of the Ryanair route and it seems to have been a very successful arrangement, but it might be considered a bit rich by some when there was a lot of opposition to BRS expansion from Wrington including some of those on the parish council. If the route is axed permanently the twinning might find itself in some difficulty - they'll have to use Luton or some other UK airport.