Disagree. In a parliamentary system, the executive roles (e.g. prime minister and his cabinet) all come from parliament - there is not the same separation of executive branch and legislative branch like there is in the American system. So when no party or coalition in parliament has a majority, there is essentially no "executive branch" and new elections must be called.
In the US, again that can't happen because the executive branch is fully separate, and even within Congress it rarely happens because we only have 2 major parties. So the situation where the House couldn't elect a Speaker due to the problems cobbling up a majority vote, which then froze any other work the House could do, is most analogous in my opinion. Debt limit standoffs are a completely separate process, and the impacts they have are nothing like what happens in a parliamentary country when a government can't be formed.
