As a landlord, im wary of dog owning tenants. As tenants rarely want to pay for damage repairs caused by their dogs.
Ive even had a tennant move out, and leave their dog in my garden for me to rehome.

There are dog owners, and then there are dog owners. So im wary enough to come check out their dog, see how much control there is, and ask about time alone amounts for the dog.
eg. stay at home mum with kids, fine. Both work full time and its a kelpie - not a chance.