Let me repeat what I always say. A light Sea-Doo anchor is sufficient when there is no wind at all but in waves, wind or chop, it may not do the job. One advice I was told from a guy in the Navy and that works very well (they do that for larger ships he said):
1. Buy the anchor and cut the cheap rope.
2. Attach 8 feet of some medium chain to the anchor (about the same length of your ski).
3. At the end of your chain, attach another 8 feet of marine sinking rope.
4. Put a marine hook at the end of the rope.
This will ensure 99% of the time that your ski won't move from where it's anchored in about 3 feet of water or less.
Worked very well for me for years and we have strong winds here. As for the storage compartment part of your question, I have a large rag at the bottom of my compartment and the anchor sits on it. Absorbs water and prevents scratching. Just squeeze the rag once in a while.