I wouldn't want to run the snubber over the bow pulpit. There is too much force on the pulpit. I had a friend shear a bolt and bend a second on his bow roller when we got caught in a microburst a few weekends ago.
I prefer that the bow roller and pulpit be used for storage, deployment and retrieval. The loads go on the snubbers to the bow cleats.
A snubber won't help with sailing whether it is over the bow roller or on the bow cleats. Two snubbers (one on each cleat) prevents the boat from yawing, if you only had a snubber on one side.
We use a mantus chain hook with connected to two snubbers and cleat tie the snubbers to the bow rollers.