Since I couldn't find it online I decided to do the grinding and scan everything.
The game keeps track on what has been scanned even on NG+ and beyond for all the scan-points. This goes further than "just" completing the log-book.
The save has two save-slots.
1. Freshly started NG+-save ready...
@K3Nv2 I got some cheapies at wallys, that are pretty good, already have lost a few expensive ones (one falls out and gone, can't find) while cutting grass so bought some cheap ones, and of course never lose these cheap ones. (Cheap meaning only $35, compared to air buds which I only have 1 of 2 now)