wbuffetJr has correct statements:
I bet a really cold rain stands more of a chance to cause a turnover in a 10' deep pond than a 20' deep pond.
A deeper pond is more than likely going to have less vegetation than a shallow pond. Dying/decomposing vegetation sucks up O2 under the ice.
Deeper lake SHOULD be more resistant to temperature fluctuations.
I don't think you can always assume a deeper pond has MORE anoxic water. Each body of water is different.