Aaah... got it.
In the main console next to the grid button is a toggle saying "To" or "By".
I know what this does so of course I had it set to "To".
HOWEVER!
In the PRV, the local grid there ALSO has this function, but it is hidden inside the popup menu.
Default was "Snap By". Changed it to "Snap To" and now it works like I want it to.
All perfectly logical.
Hoo boy.
I started with Cakewalk 4 for DOS back in the day and I'm still finding things out.