Hi. I'm online and happy to answer your question today.
Using modern cataract surgery techniques damage to the corneal endothelium, thereby compromising the cornea is very rare. If you husband already had corneal problems different steps can be taken to protect the cornea even more then usual during the cataract surgery.
So to directly answer your question: No. Cataract surgery, as a general rule, will not compromise the cornea.
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