I really do not think you are grasping just how insane the amount of gold they ripped out of the local nations hands was.
Aproximately 850 tons of gold and over a hundred times that amount in silver. (The Spanish)
The profit from some lumber and sugar cane are not remotely comparable to literal throne rooms worth of gold delivered dozens of times over, let alone the power and territory that came with toppling mighty empires through . The situation is radically different, it cannot logically happen the same way as OTL.
Well I agree to a certain extent, this is especially true for the Spaniards who made their fortune in the New World, but not for the French, British or Dutch in OTL. Dutch colonies produced sugar, cocoa and other valuable plants. The French did the same in addition to producing fur and the English were similar to the French (apart from the fact of massive immigration).
What the argument demonstrates is that the form of empire that created the Spanish empire will not exist, on that I agree it will be more plantations than anything else. This has a ripple effect with the gold of the Portuguese colony literally helped England to concentrate reserves that made the English banking system the main financial center of Europe, as well as making possible the financing of the English Industrial Revolution. But extractive colonies will still be a common thing they will just be different (a mix of extractive and settlement colonies).
The only place that will have a big (like really big) gold rush is going to be the french colony in south america (As a colony, Brazil officially delivered only 800 metric tons of gold, but estimates say it was more than 1000 tons. The colony had the world's longest gold rush period and the largest gold mines in South America. The colony also produced diamonds being the largest producer of diamonds for over 150 years. In relation to sugar production, until today it is the largest sugar producer in the world by far.) i don't know if north america had a big gold rush.
Like, will there be an interest in the 'new world'? Sure, but its not going to be the streaming waves of wanna-be empire conquering, gold extractors that we saw in OTL because nothing that inspired that has happened here.
Well sugar for a while was worth the same as gold (sugar was called white gold for a reason). The colonies will not make the economies the European empires (mostly, there are some cases). But they will be something worth investing in, be it plantations, mineral extraction or biological wealth. (they will supplement the economy of nations)
Like, let's keep in mind that Africa also had massive reserves of gold but no European has yet gone down there to try and take the place over.
in this case the problem is disease and not the will of the europeans, the moment it was possible to survive in that climate the europeans explored africa.
The same is true with the 'New World' it doesn't look like an easy conquest the way it did in OTL.
I would not say that, what is shown at the moment is that there are two "civilized" regions but the other colonization attempts had no problems; In the eyes of Europeans, there are currently two strong empires that could be good allies and trade partners, but in the Caribbean, the Spanish had no problem expanding (either in the region of Gran Colombia or in the south of the USA), in the region of Canada, the Portuguese managed to colonize without major difficulties on the part of the natives. I think these two civilizations are likely to be considered "noble" savages (perhaps the Europeans will try to convert them into good Christians, the success of that I don't know what it will be) with the rest being considered just savages.
Yeah the Portuguese weren't exactly known as this friendly chill group of people, they aren't gonna be inspiring anyone to pick up and sail North to fight some other randos.
no civilization that wants to create an empire will have clean hands, from the incas to the chinese empire creation is a dirty job.