For my medium Venetas, I'm now using a Purse To Go, in the "large" size (the current available sizes are "small," "large," and "jumbo").
I am using it with the pockets towards the center. I folded the top edge to decrease its height, so it does not interfere with the slouching of the zipper edge of the Veneta. I could probably leave it unfolded, though, if I wanted to preserve more of the flat shape when carrying it. It would protect more height on the sides of the lining that way.
I've been using it for a few months. So far, I like this better than the medium Chameleon for my medium Venetas. The Chameleon is like a small box shape, so some interior space was wasted, and it had to be squashed width-wise inside the flattish Veneta. The PTG is like a narrow oval shape, and almost no room is wasted.