Madero's revolution started when it became clear that the democratic process was not working. They overthrow Diaz in just 8 months with minimal bloodshed. An election was done and Madero was democratically elected. Constitutional order had been re-established. However, as you mention, there were still revolts by Orozco and Zapata.
After Huerta's golpe is when the Bloody Civil War started. Death toll estimates are between .5 and 2 million.
Even President Woodrow Wilson was appalled by Henry Lane Wilson's assistance to Huerta's coup d'etat against Madero.
And as such exactly the kind of situation which is very susceptible to external intervention/influence. For somebody with ambitions like that, it's exactly the right time to get involved to influence the outcome, while somebody with no ambitions like that would most likely not get involved and wait for it to play out "naturally" and reassess their approach after that.
It was not a stable political system. Wilson stepped into that void (and wrongly), but he did not trigger that revolution.