@thebellagio
This is exactly the type of thing that SHOULD be done at home. It’s quick and easy and it frees doctors up to see people with other needs that can’t be treated at home. And if your blood pressure reading shows you need to see an HCP, you’ll be further along the pathway than the initial appointment.
But why? It has never EVER been done at home before the pandemic. Why NOW, is it so utterly VITAL that blood pressure is done at home by the patient, with their own machine that they have to purchase themselves? 
What next? Doing your own blood tests and popping the blood into a vial and posting them to the GP? Getting your own stethoscope to check your heart rate? Getting a canula and a drip to rehydrate yourself if you've had a tummy bug?
Not everyone finds it so easy to do things like taking their own blood pressure, and if the OP wants a nurse to do it, then she should be allowed to have a nurse do it. If some people (like you clearly, and some others on here) are able to do it at home, then bingo! NHS time and money saved. Not everyone wants to do it themselves, and some can't do it.
So they should be entitled to get it done FOR them by a HCP. (Or if they have one, the little pod in the surgery that has a blood pressure machine, to enable people to do it without waiting for a HCP.) No-one should be forced - or expected to get their own blood pressure machine to do it themselves at home!
All this putting people off going to the GP when the patient would prefer to see a GP or HCP face to face really boils my piss tbh. Sick to death of 'covid' being used as an excuse now, for slack service, and brushing people off. Yes yes yes, some GP practices are run ragged yada yada, but not ALL are, and there is definitely an element of brushing people off because they CBA. And it has all stemmed from the Covid Pandemic. It's made some NHS services lacklustre, slack, and mediocre.