I am a Canadian citizen with US Permanent Residence (Green Card). I am wondering whether I should apply for a NEXUS card or Global Entry. Since I understand that I can only have one or the other, I want to get the better one for my situation. Note: This question is specific to this nationality/immigration combination, as the suggestion may be different from the normal suggestion.
The standard suggestion for Americans is that they should choose the NEXUS card, because it is less expensive, and offers many of the same benefits.
However, I imagine there might be differences by virtue of the fact that I would not face the same scrutiny when crossing into Canada, as I am a citizen. Therefore, NEXUS might not be advantageous for me.
Is there a comparison of which would be better for my situation? I am specifically looking for information of what will be better both for crossing the US/Canada border and for flying to/from other international destinations.