I am not too familiar with Cura, but I don’t think they have the ‘support painting’ feature of prusaslicer and the likes that would allow this. In those, you can paint where you’d like your support to touch or use modifier meshes to selectively add regions that should be supported. It’s the easiest way I know, though I have heard that Meshmixer also used to be able to do that… but I’ve never tried.

Check if your print is wobbling when it reaches that height. If it does, you may need to add support to fix that - a few organic support touch points halfway up should help

I agree with all your points, except the last one. Admittedly, it is still rare, but there are companies out there that, using industrial machines, manage to get close to or (in case of the linked one) exceed injection moulding in tensile strength, and are achieving near isotropy using FDM processes. https://orion-am.com/blog/orion-am-news-1/3d-printing-peek-stronger-than-injection-molding-12

Disclaimer: I work there. However, this article has independent test data that has been verified by 3 different labs by now.