Thanks,
@emilylia and welcome to the MM group!

To answer your question, there is some give to both the Iride and mini Zhoe. I imagine that this is impacted by the leather, too,.. mine are both in Stardust, which I find a bit stiffer than Merinos but softer than Pompei. (Actually, of all the MM leathers I've felt, I think Pompei is the hardest/most stiff). Based on the shape, I would say that the mini Zhoe is more structured compared to Iride. The front (flap and underneath), back, and bottom of the Iride look to be 1 continuous piece of leather, unlike the Zhoe, which has separate pieces (more box-like). I'm attaching pics for you to see. Iride does not really stand up on its own while mini Zhoe does. In terms of dimensions, they are about equal in width, but Iride is slightly shorter in height and longer. I personally think Iride looks a little dressier and works a little better than the mini Zhoe as a clutch. As a disclaimer, I did not order separate straps for either bag, and the default is an all-chain strap for Iride and leather + chain strap for mini Zhoe.
Let us know if you have any more questions! Happy to be of assistance!