Hmmm… If one wanted to right click at the flashing cursor could one use move and click to the image that is the flashing cursor? I know it’s not the greatest of solutions because the cursor is both very thin and it flashes so one would need pause and repeat it once, I guess…
So maybe that’s an option?
Actually one could do the following if that doesn’t work one (as a dirty work around) could do the following:
Have your macro type a “§”. Now you can search the document for the “§” character (either with images or maybe there’s a better way?). Double click on that position then right click on said position. There might be better pictures you can use (like the apple logo ?). Messy work around but it could work! 
(Note: I think that may be dependant on font size actually…)