No. At the moment it's people who don't own a property and have savings instead who "pay twice". People who couldn't get a mortgage to buy a house so saved instead are expected to pay more towards old age care than those who did get a mortgage to buy a house. The proposed policy change was to rebalance the current rules which greatly benefit property owners over involuntary renters of similar means, to make the rules fairer.

See https://news.ycombinator.com/item?id=36489768