No, I think the House of Lords and the monarchs rulership over the Anglican Church mean the monarchy/nobility is still alive if not well.
Almost all semblance of religion long ago left the CoE, along with most of its worshippers. The "bishops" of that government-funded socio-cultural organization are government-appointed life peers. If the monarch is a sort of special patroness, that's practically a private affair. Antidisestablishmentarianism is dead, and whatever might be left of the old establishment will follow soon enough.
There was some hope for Sark, but now that's gone too.