Some jobs robots will be able to do, others have a human element where it needs an actual human interaction.

Examples of grooming-each dog is different in personality and behavior during grooming, a robot would effectively have to read a dogs body language as well as know what personality type the dog is to guess what its actions might be. It would have to know to be quiet and gentle with fearful dogs, firm but gentle with wiggly dogs, extremely careful with elderly dogs, etc.

Dogs are so finely tuned to our emotions and reading our body language as well, so a cold unfeeling robot is likely going to scare or stress out an animal too much.
I could go on but you get the point. Some jobs robots likely will never take over. Maybe some things robots could help with in grooming, but doubt they'll ever completely take over.