I agree with Donsa320.
But,
Show me where they are "weather minimums" without being clearly stated CEILING REQUIRED.
Aside from that if you have ever shot an approach with a OVC001 and a DH of 200ft HAT, you can see the approach lights most of the time, depending on surface visibility. Thus you can continue your approach. So it is not like a ceiling is some wall that flight visibility stops at.
If you read TERPs, everything is calculated from surface visibility and how it affects flight visibility. Nowhere does ceiling come into the design of an approach in the U.S.
Many in the dispatch world get confused over this because of how alternate minimums are derived.
Read what I have highlighted in my previous post, and notice that part 97 only talks about a ceiling requirement for takeoff minimums and alternate minimums. DH and MDA do not mean minimum ceiling.