Like everything, this is a real “it depends”
A robust supplier management system is going to do two things, categorize the supplier based on audit and history AND categorize the material based on nature and use. Both are risk based.
Once these are set up you can really reduce testing till it’s nothing more a visual confirmation for certain materials and certain suppliers.
I recommend heading over to the Food, Drug and Cosmetic division community and asking this, we can get into all the geeky aspects of product contact and fit for use and the Q trio requirements and whether you are advanced biological or small molecule, and the such.