Would increased density actually lead to lower housing costs though? My initial thought is no, especially in a major city such as Seattle.
There is an effect where improving the consumption benefits of the city may draw new migration from other parts of the country, but it is generally accepted that this effect is much smaller than the effect of increased competition between landlords and developers.
If you think that housing somehow operates differently from a normal market - increasing supply will not change the price - it is incumbent on you to explain why you think this might be true.