The reason "No new wars" was a popular campaign talking point is that they tend to become disastrous and expensive. How any particular instance turns out is irrelevant to this being a violation of "No new wars".
Also, Iraq is the wrong standard to hold "No new wars" to. The "new wars" being referenced are all of Obama's wars of choice, which were much smaller scale than Iraq or Afghanistan. In that light, any intervention on par with Syria, Libya, Yemen, etc. is a violation of that pledge (if it was actually a pledge).
