If you look at the forklift one for instance, you are required to have a drivers licence to "drive" one on public roads ( see public road description above) but that license is no good to "operate" the forklift either on a road or a private workplace, you need the osh/worksafe ticket to actually pick up stuff with it.
For "working" on private property common sense would say as long as he/she is trained and competent to operate said machinery a license to drive on a public road is irrelevant.
This is my interpretation only based on my experiences, seek legal council is my advice.
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