I have an AX-Lightness saddle that specifically says in the manual to not hang the bike by the saddle.
That saddle is mounted to a Darimo seatpost with very specific saddle clamping instructions. Darimo also specifically states in the owners manual to not clamp the seat post in a work stand. Even though it was the reinforced model, the one & only time I
gently clamped it in the work stand yielded curious "witness marks." I'll not be doing that again.
The saddle & seat post are installed in an ultralight, triple butted steel frame that good sense says to never, ever clamp...I even utilized a "not to exceed" 4nm torque value to avoid the risk of crushing the seat tube. (Nobody told me to do that, but the tubing is paper thin & stupid expensive. So cut me some slack.
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My advice to the OP is to consult with the saddles manufacturer. High end components tend to be ultra-engineered to be fit only for its intended use & nothing more.