every sovereign state with an effective government has a ceremonial head of state, whether he or she arrives at that role by hereditary means, by democratic election or by just taking it for themselves; in this country it's hereditary and has been for centuries. any head of state has to be afforded the position to ceremonially represent the state. this doesn't mean entertaining fellow heads of state or leaders of foreign governments in a council owned semi in Slough, or a 3rd floor Park Hill flat in Sheffield; whoever is the UK's head of state has to be properly funded.
at this time, no mainstream party is campaigning on a republican platform, and no party with more than half a chance of getting mps elected to parliament is suggesting abolition of the UK's hereditary head of state system. any such change will require much constitutional upheaval and however much those with a republican bent on this forum might like the idea, they won't live to see an elected head of state in the UK, and their offspring may not either.
oh, and any claim that abolition of the monarchy in favour of an elected head of state would save shedloads of cash for the NHS is as empty as painted words on the side of a Brexit bus.