I think the answer is “yes, and yes”. It was an ideological heresy and it threatened his paymasters.

But - ironically enough - he still fell back on it in the end, because Chile needed the revenues from the copper industry in order to function. Privatizing the country’s largest revenue stream would have meant downsizing the military. And that threatened Pinochet’s control of the country. So he ended up doing all the same fundamental state-run economy shit Allende was trying to master, just a decade later and after having shot half the guys in Chile who knew what they were doing.