I have not but one of my neighbors jogs with her pony every morning. Literally - she has the pony on a leash and they run side by side down a back road!
Yes. I take my horse for a walk when I'm meeting my trail riding group for our annual work party weekend. I usually get there hours before anyone else, and I won't ride without a buddy. (too unsafe) So I walk my horse all over the trails until people start showing up.
Here's a crappy picture, but...
I had to loan her my jacket. The blood thirsty insects thought she was a free blood bank. (it didn't help!) ;)
I have not read all the reponses, but yes I have taken Citrus on a walk.... it is where he was introduced to a bridge and me, my daughter and the horse had a picnic..... I think it helped him bond with us. I will do it again asap :)
I have yet to do that, and I really want to. Maybe one of these days, here soon I will. I love to ride, but there are times where I'd just rather groom for a few hrs, clean stalls, clean arenas, and take my girl for a walk down the road. When I do, I'll let ya'll know how it went..