Some manufacturers actually make mounts for this application (I think Sure-Strong allows this). The load in the center of tripod will always be more than the load on the COD pully because the COD is less than 180 degrees. That's why the ti-pod stays put. Of course too many haulers could disrupt this.
I wouldn't try this unless I called the manufacturer. Many tri-pods are for single preson use and are not as strong.
There's probably an obvious answer to this question, but the only stupid question is the one not asked (!!!)- is ther an issue in relation to how close (or not) the redirection pulley is mounted on the base of the tripod?
I really don't know that one, but would speculate that it would make a difference. I would think that the higher the pulley the more chance of turning the ri-pod over due to changing the angle of approach of the rope into the pulley mounted on the head of the tri-pod. You would loose some of the down ward force in that pulley.
We typically use the tri-pod as a COD and rig everything to an anchor seperate from the tri-pod. I know this isn't always practical, but it is "just another way". The benefit is that you open up a hauling field to work in.