Before comparing monthly premiums, gather the first skin-related visit, ear or paw complaints, allergy tests, prescribed shampoos and medications, and any specialist notes. Ask the insurer how it interprets that actual history. A condition can be relevant even if an earlier visit used a symptom description rather than a final diagnosis.
Ask for the extent of any exclusion in writing. Does it apply to a named condition, a related group of conditions, or a broader category? If the answer is uncertain until a claim is filed, treat that uncertainty as a drawback when choosing. Do not record a verbal sales reassurance as guaranteed coverage.
Also check the positive side: which unrelated future injuries and illnesses would remain eligible? A history exclusion does not automatically make all insurance worthless, but it changes what you are buying.