interesting indicator of a galvonic issue, but maybe get a bolt type xinc or a shaft zinc (clean a used one) and bolt it firmly into chain as far up as possible without interfering with windlass.
Avoiding a sidebar discussion about electrolysis/galvanic
corrosion, the anchor will not eat up in the mud unless serious
current is present- and I suspect that other indicators will precede. But slower issues are going to develop in the chain within a couple links of the anchor and more exposure to the
salt water (above mud line) . Picture a
battery post and the fuse- the chain is essentially the wire and the zinc would be the fuse.
If you note quick degrading of the zinc in a short period- then personally I would investigate environmental location and windlass. If degrades over a month by month check, then it is doing its job and protecting the chain.
Vessels that sit in the mud at low tide often experience lower zincs degrading faster than upper zincs.
This would be an interesting experiment- please report back your results.