Yes. And if anchored in waves, probably not by choice, the popping off [that Craig mentioned above] is very likely. The pin can be reinforced with line wraps. Under worrisome conditions, the rode should be led back to the mast base and secured there, in case the cleat or cleats give way.
I rode out an 18-hour 40-knot gale with 20-foot seas on a 38' Newick trimaran far offshore. We lay to a sea anchor after not being able to reduce bare-poles running speed below 12 knots (!), even dragging lines, anchors and the companionway ladder. The 300+ feet of Nylon rode put the parachute two crests to windward, which was the recommended distance, so it would not be yanked into thin air between waves. Trimarans, light and without a fixed keel, respond very well to sea anchors (not so sure about our fin-keel boats). The effect belowdecks was likr being on the end of a rubber band--the rode would stretch, stretch, stretch, then yank! Hard to sleep, but breaking seas swept harmless under the bow.
With the rode secured to the mast, the chief issue was the rising of the rode off the bow in troughs, and the threat of chafe. I wrapped the chafe area with towels and duct tape. I rigged heavy guide lines from either side to keep the rode at least centered under the pulpit. There was no way to secure it, and any anchor chock pin would have failed given the radical change in angles.
In extreme anchoring conditions, a pitching bow probably defeats any standard setup and will require attention.