I do . My Phoenix was diagnosed with babesia shortly after I adopted him in 2002. He seemed very depressed and could barely walk across the street without needing to rest. It was very hard to get the diagnosis because I live in Canada and the offending ticks don't live here. Finally I vet who works with a local adoption group had him tested and his results were positive, plus the critters were visible in his blood. He was treated with Imizol, which needed to be imported as it wasn't available here. He's been fine ever since .
I hope your boy improves very soon .
I never muzzle my dogs at all breed dog parks. It leaves them defenceless. I almost always muzzle then when they are romping around with multiple greyhounds. In the beginning, I carry a muzzle with me when walking them, just in case. I muzzle Treasure whenever I'm not home because she enjoys smacking on laptop AC adaptors when they are plugged into an outlet.
It's been my experience that they do ask. You just need to know what to look for. The signal can be really subtle and you may need to watch them carefully to see if you notice the subtlest change in behaviour or signal.
Welcome! I take Phoenix and Treasure to TO for walks every once in a while, especially in my old neighbourhood of Riverdale. Lots of good dogs places in TO .