UK Republicanism has very little (but growing) public support. People are deeply invested in the national emblems and will defend them even if rational cases for reform can be made. For the Brits this is NHS, BBC and Royal Family
People will whinge about the NHS being slow or badly managed, but generally defend its existence to the hilt. Barring some free market extremists, there's no political will in this country to explicitly privatise and dissolve the NHS as a free at point-of-care nationalised healthcare service.
The BBC gets teased for being old-fashioned, quite a bit of stick for the mandatory licence fee, and a lot of well-deserved criticism for the Jimmy Saville mess. Excluding some absolute nutters with dubious motivation and funding, no one's trying to get rid of the BBC.
By contrast, there's a significant political bloc who are at least apathetic towards the monarchy, especially now the late Queen, the last symbol of continuity, has died.
35% of people with EMERGENCY cancer referrals don't get seen within 2 months, and wait lists now hold over 6,000,000 people, and the worst wait periods (over a year) are rising rapidly.
Doctors and nurses get absolutely scammed, while citizens get left to die.
Additionally, despite the use of slave doctors, NHS funding is rising 2,000% faster than close neighbor France -- with further massive increases planned to 2025.
NHS Brain Surgeon 96k pounds -> https://www.payscale.com/research/UK/Job=Neurosurgeon/Salary
If you decide you can move on up to checks board managing the production of burritos and burgers as a Food Service Manager, you can out-earn a British brain surgeon by 50% :)
Pretty depressing to be a British doctor.