The "problem" was that population growth kept up with supply - initially through an extremely high birth rate and then, when that collapsed, through extremely high immigration rates.
Given the high population growth and low availability of land the growth in housing stock has been pretty amazing. Both the quality and the quantity certainly blows the US and Europe out of the water.
The safety of HDBs, apart from reflecting Singapore's low crime rate in general, also reflects Singapore not having the idea that high rise government housing projects are somewhere only the poor and desperate would want to live and their condition a reflection of Singapore not having the belief that government budgets are things to be slashed....
Neoconservatism is a hell of a drug.
Wouldn't matter for the areas that could actually use more housing (dense urban ares), but there is an extremely strong anti-government streak in the U.S.