Don't worry. This will not go on an on, we're just living through the death rattles of the pandemic completely dominating global, collective, and media awareness over the past year and a half. Of course the BMA are concerned: they are doctors, they have taken the worst of the pandemic, and they just want this damn thing to stop. The difference is that for them, this damned thing is people needing medical attention, and they can only wish it were possible for everything to just bloody stop if that would release them with dealing with the worst of COVID-19. But it will get better, with minor ups and downs.
SARS-CoV-2 is of course not going anywhere. There will continue to be new variants, the media will for a while loudly (and clumsily) echo any clinical paper about breakthrough infections, or increases of cases in this or that population, or collapsed ICUs [0]. Meanwhile, vaccine manufacturers will try to lobby governments into buying and administering newly developed booster doses for this or that variant of concern. The new variant may or may not really be truly concerning for public health, but their business is manufacturing and selling pharmaceuticals, so fair enough.
But in any case, once a critical mass of the population is vaccinated, COVID-19 will gradually become irrelevant. Virtually everyone will have significant immunity, a few people will catch it and think it's just a cold, fewer people will catch it and develop a nasty flu-like case which will be correctly diagnosed as COVID-19, and there will even be nasty and even deadly cases in vaccinated people. But there are nasty and deadly cases of flu, and even nasty and deadly cases of common cold viruses. However, as the media little by little gets bored of making a big thing every time this happens, the epidemiology of COVID-19 will slowly become only of interest to people actually working in the field — just like they have been silently studying the epidemiology of every seasonal flu strain without any media attention.
[0] For Spain at least, I can find you news about collapsed ICUs... during pre-2019 flu seasons!