Hi Pluto,
I hope I may be of help.
It's not so much the ink, but the printing method too. There are four methods and the ones used for newspapers (e.g. high-volume) typically were letterpress and lithography. Letterpress consists of a plate which is produced manually of lots of little pieces assembled into a whole page (very time consuming) and litho used a semi-flexible aluminium plate which was exposed with films, much like a photograph, to produce the image then wrapped round a drum where ink would be applied then transferred by a blanket roller to the continuous feed of paper. The ink was waterbased and took a while to dry or 'cure' and as newspapers were printed overnight, when you got them, they were 'wet'.
As technology moved on, other printing methods became viable for these high-volume print runs. I think the Daily Mail might have been the first to move to flexography. This method uses a flexible rubber plate which is cut digitally (much quicker). The inks are solvent based and once the ink has been applied to the printing 'plate' and then to the paper, the paper goes through a curing head, which dries/cures the ink so by the time it comes out of the other side, it's completely dry.
tbc...