I keep running into this issue, and it honestly does seem breed specific with sighthounds.
Recently, a greyhound (a real beauty of one I must add) chased my miniature poodle in an off-lead area. My dog ran back to me in a panic, and I instinctively stepped in the greyhound's path. The greyhound slowed down to go around me, so I took my chance - I grabbed its collar and held it still. The greyhound didn't resist me or strain to reach my dog behind me and just stood there looking at me while i held her collar with those soulful eyes - they do have a gentle nature and I do honestly really like the breed.
I assumed the owner would come and collect their dog. Instead, the he kept walking in the other direction, and called out "Oh, he's friendly, he won't hurt her" as if there was no need for me to have grabbed the greyhound's collar. I wondered if I should leash his dog and walk it back to him with a few words. Or just not let it go until he physically came over to "collect". Would that have been too over the top do you think? I was confident the greyhound have given up the chase with the interruption but I sort of wanted to make a point. Wondering that to do next time?
This isn't the first time I've seen this and greyhounds are weirdly popular amongst my colleagues, and although these colleagues are all normal, respectful, open-minded, considerate and sensible people I otherwise really respect ....they all talk about their sighthounds chasing small dogs like it's just a harmless sighthound thing. (And to be fair - it is meant harmlessly, it's just a game to a gentle greyhound, there is no aggression in it.)
It seems like it's just a sighthound thing that owners take as part of owning that kind of dog, (I'd love an Italian Greyhound... but this prey drive business meant that I didn't get one) but do you worry that it might chase "the wrong dog" who doesn't take kindly to it one day? Greyhounds' skin is paper thin 😥, what happens if it chooses a terrier with a strong fight response or something?
I know they're fast and can out run any dog, but if they're close enough to chase they're close enough to get bitten? Their speed doesn't keep them safe...