Would you consider insulated concrete forms (ICF) addressing the water intrusion concerns, while retaining the other benefits of reinforced concrete?
It's like the bridges that used epoxy coated rebar for chloride corrosion resistance and then found out that any tiny nick in the epoxy coating then causes that rebar to somehow corrode FASTER than uncoated rebar.
Just because things fall under gravity doesn't mean they only experience compression. A simple moment frame would create tension in vertical members with only a downward load on the crossbeam creating moment.
It also would exclude the ability to do crack control in concrete with reinforcing, which would greatly lower its lifespan.