If the government actually want people to install heat pumps (I hope they do) they really need a lot more policy.
The current £7,500 grant sounds great, but when you look at British Gas' installation estimates[1], it costs about £5,000 more than that on average to carry out an installation. That means even for customers who have to install a new heating system (i.e. their current boiler is broken beyond repair) it is still substantially cheaper to install a combi-boiler (less than half the price on average).
And that's people who have to install a new system- if we want to move from fossil fuels we need people to replace working boilers with heat pumps.
Honestly, the government has a tonne of levers it can pull, but any serious plan needs to not rely on people making hard to afford decisions because they are environmentally justified. They beed to actually do something so that the relstive emissions of heating get reflected in the cost of systems and fuel.
[1] https://www.britishgas.co.uk/heating/air-source-heat-pumps/carbon-cruncher.html