The main thing to watch out for is the stress riser that is caused by the uppermost portion of the seat lug above the binder bolt ears. A good-sized bump hit while seated is enough to cause a carbon post to crack at this point; I only wish I didn't know this from experience
I had one of the old Flite carbon seatposts in a Gios Compact frameset a number of years ago in London and this scenario happened to me. Broke the post nearly halfway around the circumference and I ended up riding the last 15 miles standing up.
The shop still happily replaced my post with a new one, which I retired to the display case.
Personally, I wouldn't risk it - although $35 is pretty inexpensive for a carbon post, you would want to avoid the long ride standing up!
Remember, most of the carbon post/frame interfaces utilize a seatpost collar, spreading the clamping force evenly about the circumference of the post. I'd imagine this approach is meant to eliminate the issue I had.
DD