There are two very different policies mentioned in that article.
One is an overhaul of council tax so that it is more proportional, ie everyone pays a percentage of the value of the house (up to £500k) with a minimum of £800. Where I live, the council tax for a Band A property is currently £1,166.
It will need some sorting out but it seems fairer than the current system.
The other policy of replacing stamp duty seems odd but that may work as well.
As far as I understand it (please let me know if I'm wrong). Under the new system, if somebody buys a house for more than £500k then they will not pay any stamp duty but they will then have to pay an annual charge (and a bigger one if the cost if over £1 million). Houses under £500k are not subject to this charge and will be free of stamp duty.
From the paper, they are suggesting that if you buy a £600k house then you do not have to pay any stamp duty (which would currently be £20k in England & Wales) but instead you would pay an annual charge of approx £540 per year. This is in addition to the replacement council tax.
Or, if you buy a £1 million house then, instead of paying stamp duty of £43,750 you pay £2,700 per year.