At this point I use my own annotation tools more often than the native ones, but from what I can remember I've never seen the setting you want. It may not exist, but I know they added the ability to regulate snaps during SPOOLDIM in the SPOOL.INI. So, maybe it is hiding in there somewhere too.

However, if you can't find it, then you could use this as a bandaid. Make yourself a text file, paste this code into it, change the extension to LSP and add it to your startup or just load it when you have a lot of annotation work to do. When the AutoCAD OSMode system variable is set to zero (like when pulling elevations) it will kick in setting it back to your desired value; currently set to 72 which is node & insertion.

(defun MySnapReactor (a b)
  (if (= (getvar "osmode") 0)
    (setvar "osmode" 72)) ;Set your desired OSnap Settings Here
  )
(vlr-sysvar-reactor nil '((:vlr-sysvarchanged . MySnapReactor)))