Agree on this. The council tax one needs to be reiterated again and again. One minor quibble: beyond building more for sale and building council houses, you can also change the taxation regime so that more people can own their own home, become a member of a coop, or have a council house.
There's nothing wrong if you can afford to have two homes. If you have two homes, you will have to accept whatever taxation regime that is policy. If that changes, you'll have to accept it. Given we have a shortage of properties, any government being honest about the situation and finding ways...