A supplier security questionnaire almost always asks the same five hosting questions: in which country the data is stored, which subcontractors can access it, where and how backups are made, which certification covers the infrastructure, and what legal basis the processing rests on. The buyer is not after a sovereignty slogan, but a dated, named and verifiable answer.
Choosing a Swiss host simplifies several of these answers without replacing them. The Sovereignty page explains what Certenor claims and what it does not promise; this page takes the side of the company that has to fill in or assess the questionnaire.
For shared web hosting, Swiss providers publish their own information, for example Infomaniak's web hosting offeraffiliate link, presented below as an example to assess with the grid, not as a recommendation.