Hospitals or "clinics" are often painted white. Clinical in this usage refers to reminiscent of a clinic.
Loads of beige in both of these:
This may seem like mumbo-jumbo but colors have a psychological effect on people. Beige also conceals stains from body fluids better than white. In any case I was explaining the usage of "clinical" and not "hospital beds."
Also the page you linked gives 'shades of white' that include beige-like colors: https://colorpsychologymeaning.com/wp-content/uploads/2019/0... Which I think reinforces my point that these are very similar colors used in similar (clinical) contexts. White gives you notions of purity or cleanliness while beige is neutral and relaxed, either has obvious value in a clinical setting.