Is it wrong to adopt exclusively hospice babies?

My fiancé and I are getting married this coming year and have been talking about starting a family. I’m a PCT and have been in healthcare for years.

It makes me so sad that so many babies pass away without families. It’s just horrible. We had two biological daughters pass away due to a chromosomal abnormality. I couldn’t imagine babies dying without any family to be there for them or mourn their death...

We’ve been thinking about fostering to adopt babies who have no chance to live. Would it be wrong if us to specifically foster babies who don’t have long to live? I want to approach this with as much respect and sensitivity as possible. I have no doubt that we can handle the responsibility, but I want to know what you guys think