oh no, not abusive. Him being alone when you go out is probably ok with him. He knows you are not there somewhere in the house and not with him. My boys went through SEVERE separation anxiety. It was killing me, financially too! They would tear holes in the walls, chew the cabinets and baseboards, shred their beds, potty pads, toys, etc.... I'd get home to a mess! Plus I heard from my condo association that they barked all day while I was at work. It was TERRIBLE!!! As they got older, they got better with the chewing and the holes in the walls, but they still barked all day.
I started turning on a radio on fairly low volume but enough to drown out the noises outside and make them feel less alone and it seemed to have worked because I never heard from the condo association again after that. Try that, a radio at a low volume, maybe that will help!
Also, my boys spend more time at home alone than I care for, but that's the way it is in New England.... they are not as dog friendly as other parts of the country. I never take my boys to the store (except the pet store occasionally), mall or pharmacy, that is just simply not allowed here.