Well, that’s a pretty scary headline. Turns out that the expert is pretty much just concerned about rabies (referred to as “hydrophobia” because one symptom of rabies is a fear of water). He does mention those other diseases, but, well, just read it yourself:

“Almost any of the contagious diseases may be conveyed by either dogs or cats, although dogs, because of their peculiar habits and their tendency to caress with their affectionate tongues the persons whom they love are much more dangerous than cats. Tuberculosis, scarlet fever, measles, diphtheria — all of these and many more diseases may be conveyed from dogs to humans in this way. I don’t wish to go on record as pronouncing that they are, to any large extent, but I do say that such transfer is a possibility…”

The Centers for Disease Control has a list of diseases you can get from dogs. But they also point out that pet ownership has health benefits.

PASTEUR EXPERT SOUNDS WARNING AGAINST PET DOGS: Woman and Children Especially in Danger of Possible Hydrophobia Through Carelessly Fondling Household Pets — Tuberculosis, Scarlet Feber, and Other Diseases May Be Transmitted. (PDF)

From August 27, 1911