Recommendations on standalone single claim critical illness plan?

You can get a personalised quote which includes an insurance premium table through this link, which will also provide a more thorough comparison between the different critical illness (CI) plans available.
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There are a few major considerations that come with selecting a CI plan. Firstly, most critical illness plans in SG cover the 37 (or restructured into 30) illnesses you mentioned in a term plan. You can add this coverage onto a whole life plan. Secondly, another consideration is the type of CI coverage: critical illness plans or early critical illness plans. Early critical illness plans offer coverage for illnesses diagnosed at an early stage, while critical illness plans only cover illnesses in their later stages. The article linked above will also provide a more thorough comparison between the different critical illness (CI) plans available.

Thanks Elijah for your candid and open sharing!