He didn't say "open source doesn't solve problems", he said "open sourcing doesn't solve problems". The verb is very different to the noun.

Yes there are open source softwares that once completed are efficacious in solving the problems they were designed to solve. The point yeukhon was making was the act of open sourcing a project alone doesn't somehow inherently solve problems in its development. At least in this case not the two enumerated problems he sees with the healthcare.gov project.