OP, it sounds like the conspiracy theory is strong with you.
How do you feel when you think of other examples where we are "controlled" in order to promote societal or individual well-being? For example:
- compulsory seat-belt laws
- compulsory car seats
- no smoking laws
- regulation on gambling companies (like payout requirements on slot machines)
- NI contributions and their flip side publicly funded health and pensions
- education and training requirements for teachers, doctors, nurses, dentists, structural engineers, lawyers, accountants and architects
- anti-child labour laws
- the Highway Code
Because when these things were introduced there were people making similar points to you about control and financial implications. And these are valid points, but they do need balancing against the good the rule can bring to us.
Take a fictional example, if we started fining people who didn't pick up their dog's poo. Obviously, this is controlling, and would cost money for the offenders and to administer, but as a society we might decide that it'd be worth it to live in a world where we don't need to constantly look out for dog poo. Unintuitively, it may end up making some people more free - maybe I could let my kids kick through the Autumn leaves on the side of the path on the way to school without having to control them by saying "mind the leaves, there'll be dog poo in there". So the freedom of some people to leave their dog poo around has been traded for the freedom of kids to kick through leaves.
With the heat pump issue, any regulation that is pro-heat pump will undoubtedly be controlling and cost money. But there is another side. Heat pumps use electricity that we can make pretty cheaply with renewables, here, in our country, without the need to pay another country for a fuel, that we just burn, so we have to return to the country the next day, to pay for some more fuel to burn. Using homegrown electricity, is a way of being more free, and less controlled by geopolitics. It also means we're paying out less money - if all our energy were homegrown the prices would be reliable, and we wouldn't have had the energy crises.
It's all nuance and balance. Please watch yourself against those who are black and white thinkers and spread simplicity, fear and anger and who never come up with any answers themselves.