For Alberta, not that they don't invite people with NOCs from those lists, but they say the chances of getting a NOI/nomination diminishes. Quite a many people on the forum received a NOI despite their NOCs being on the high-wage low-wage lists. AINP invited many complete outlanders (no job offer, no connections to AB/Canada, no Canadian education, nothing) in Aug, Sept and Oct but your NOC had to be among the selected NOCs of that particular AINP draw.
Outlanders with no connection to Canada who were invited by AINP had NOC 2131 only, I have not seen any other NOC.