And I will add some comments from my experience.
When gluing cardboard / paper models, it is important whether the glue soaks into the paper or not.
1. Water-based adhesives soak into paper and can even change the dimensions of parts. After drying, such parts bend due to adhesive stress after the water has evaporated and are therefore not good for gluing large parts such as decks or frames (the frames should be perfectly flat)
However, such glues work great when gluing details. Just a drop or two on the edge of the glued part and it holds perfectly. It is good if such glue after drying is transparent. I used many typical wood adhesives, sometimes thinned them with water and I don't see big differences. Instead of wood adhesives, some modelers use bookbinding adhesive, although there are many types of such adhesives, and tests need to be done.
2. For large parts (eg sticking frames and decks to cardboard 0.5 or 1.0 mm, sticking planks), adhesives in which the solvent is not water are better. I have been using adhesive for ... rubber and leather for years (shoe adhesive). Unfortunately, this glue is not good for health and smells bad, but it works great when gluing cardboard models. Glue is applied to both surfaces and the parts are joined together after partially drying. "Polymer" adhesives work similarly, they dry a little longer and smell less, but they create very thin "threads" in the air and these "threads" can stick to the surface of the model. To reduce "threading", the polymer adhesive can be diluted with alcohol or a similar solvent.
3. Cyanoacrylate adhesive is useful for very small parts when you need an instant effect. The second advantage is the hardening of the cardboard, which can be sanded with a file or sandpaper almost like wood. Cyanoacrylate glue soaks deep into the cardboard, leaving stains, so usually you need to paint these parts later.
In my opinion, these three adhesives are sufficient when used skillfully.
Unfortunately, different brands are in different countries so you need to experiment a little.
Tomek