Yes, dogs, both male and female, develop potty preferences. That doesn’t mean you have to cater to them. Tons of people train their dogs to go in a particular area of their yard. My dogs are required to go potty at home before we take them on a walk. My dogs, both male and female, can mark at their home yard all they want, but they are NOT allowed to sniff around and mark out on a walk.
That being said, many small dogs have a slow large intestine, so their stools are drier and harder than other dogs. These dogs, like some people, need to move around a bit before they can move their bowels. No matter if you stand like a post or go for a walk, the dog is going to have to go for a walk to get the stool to move out. Sometimes, you have to give the dog what it needs. When I need a dog to poop on leash and they need to move around a bit first, I try to teach them to lunge like a horse, doing circles around me, until they are ready to go.
