When it rains my feed cups of oyster shell turn to mush. Maybe I have acid rain. Maybe something in the container contributes acidity but it turns to mush.
I assumed since the OP had few chickens they were concerned about long term storage.
Oyster shells are calcium carbonate. The solubility of CaCO3 is very low. The Ksp for CaCO3 is 3.8 x 10^-9.
This means they disolve at a rate 4 times slower than lime.
As a side note, it is a really bad thing for all the oysters in the world.
Excess Carbon Dioxide in the atmosphere is absorbed by water.
Mixed with sea water it becomes carbonic acid.
The acidification of the oceans has increased to the point that larval oysters growth is slowed and shells even disolve so the larvae don't survive.
Oyster production in some waters is down 80%.
Chemical change to sea water is 30 times greater than at any time in the last 800,000 years.