I think USians in the territories probably think positively about the mainlaind; I would think USians on the mainland never think about the territories.

The relationship is controversial (at least for Puerto Ricans, though I assume also for others), but there is an undoubted higher standard of living for those territories relative to surrounding countries/territories. The tradeoff being wages and access to products and services coming at the cost of sociopolitical sovereignty. There's also big diasporic communities from all those places in the mainland.

But it doesn't really work in the inverse. Though these places have a higher status than the places they're immediately near, they're still much lower and the quality worse than stateside. Most USians don't move there because the wages and services are worse, and there's fewer opportunities for them; many don't even visit there because tropical vacations can be gotten closer and more easily. The exception is when you really need to think about them, probably if you have family, maybe if there's a natural disaster or some other prominent news story.