You didnt explain yourself in the above very well, are you saying you are using ascenders to pull the anchor because your anchor line is thin?
I own quite a large amount of climbing gear which I would never use in a saltwater enviromeant. Climbing gear is normally lightweight high strength alloys, they are also pretty expensive.
I anchor in depths of 50-80m where a simple float system is used to pull my anchor and has never given me any problems in the last 30+ years. I use light braid anchor lines down to 6mm for cutting fast tidal flows, these are rated to around 1.5 tons. My boat and engine thrust could never break such strengths unless the anchor line was to get damamaged over rough reef (which has never happened).
I use a sarca anchor which has the best holding ratings of any anchor in anything from sand to reef.