In my view, a principal private residence should be viewed as an expense and liability (opportunity cost of capital, property tax, insurance, maintenance and upkeep), not an asset.
We can make certain that it is so regarded by taxing capital gains on the PPR at 100%. Is that what you think we should do? I'm guessing not but, we then we have to ask, why not?
Those in charge of governance over many decades have built a society where the vast majority of people's wealth is tied up in principal private residences. Are the citizens now to be punished for that explicit policy? Again - you can say "well they voted for it" - but that is too simplistic.
I don't think property taxes are a punishment. The truth is that property derives much of its capital value from services and facilities provided at the expense, or partly at the expense, of taxpayers. While you can argue the pros and cons of property taxes by which property owners pay, at least in part, for the services that enhance the value of their property, but I don't think we can reasonably call them a punishment.
As you point out, a huge amount of private wealth in society is tied up in principal private residences. If you think about it, that's not a good thing — society would be much better off if that wealth were deployed in more productive ways, generating activity, income, profits.
One way to bring this about would be to make PPRs less attractive as an investment, and certainly to stop favouring them over other investments. So you could, for example, abolish or limit the CGT exemption for PPRs. That way, people wouldn't be incentivised to invest their surplus income in bigger and better houses rather than in more productive assets. Another is to tax homes to more realistically reflect the cost of servicing them with roads, sewage, street lighting, water supply, etc, so that your investment in your PPR isn't subsidised by non-home-owning taxpayers.
Of course, these measures would be hugely controversial. But you make the point yourself that "those in charge of governance . . . have built a society where the vast majority of people's wealth is tied up in principal private residences". Incentives, subsidies and subventions of this kind are
how they have done that. And it's a state of affairs that is now causing us signficant problems, of which the housing crisis is the most prominent. So how would we go about changing that state of affairs, if not through measures like these?