Nearly 50 years ago, my father rescued a squirrel from the ash pit of our fireplace. He was only a few days old, and we knew that his parents would never take him back with human scent on him…so we raised him. Initially, we fed Fuzzy milk with a doll bottle, but he soon graduated to nuts, dry cereal and the occasional potato chip or French fry. We taught him how to climb trees (and get down), and he would climb all over us. He loved sitting on a shoulder and observing the world from a higher altitude. But we never brought Fuzzy to the store - his one trip out was to the vet for a rabies shot, and he was in a cage.
The old thing about animals abandoning their babies because of human scent is not correct. People used to tell us this in our workplace, when we had to move baby rabbits that were left by their moms in the tall grass (lawn mower coming) but we never saw it to be true.
Animals will abandon young occasionally, but not for that reason alone.
https://www.scientificamerican.com/article/fact-or-fiction-birds-abandon-young-at-human-touch/