From my perspective:
i have 2DC. DS has always been good with dogs. He seems to be a magnet to them and we used to meet a group of greyhounds in the park, he'd be enveloped in Pointy Hound Lean Hugs.
DD.......was terrified. We managed ( with difficulty) to stop her screaming when she saw a dog, which TBH wasn't good for her, the dog, the owner or my ears.
We avoided woods, parks and beaches in Dig season because , we told her, it wasn't her sole right to go to the park, she had to share .
As she got older, she improved, never comfortable with dogs, but at least she stopped running into the road
.
She'd rather cross the road than walk with a dog, and will get a shock if one approaches sneakily (like round a corner or from a garden, little tricksters).
DS used to tell DD "Look at the dogs' tail" (not the eyes)
The owners - some would ignore. Some would do the "Oh, my dog is ok, he'll lick you to death" (which for a child scared of dogs breathing on her, was the worst)
They all put the lead on as soon as they saw her stiffen.
I used to walk home through the park (alone) and talked to the regular owners so if they saw DD, "Oh look , there's Monty/Tess/Billy" she was a bit more prepared.
Last year, her mate got a puppy and DD gradually relaxed with dogs to the point now she's fine ( I cannot say 100% cured, she's never met an aggressive dog)
My parents NDN had a lovely but extremely timid dog. Had all the signs. The sitting while the tail half wagged. Looking at the NDN for re-assurance. The whimpery noise. The ears flat, head low.
DD , Bless her, knew the signs. Said "Hello" but didn't put her hand out. I really don't think this dog would've done anything, she looked the type to Look and Leg It.
I am, however, very grateful to the owners who were considerate to DD, especially the couple with 2 huge staffs who sussed DD out in an instance. She was surprised by them , I didn;t want to say "Oh, DD , dogs" but I knew if she turned and saw them , there would be all Hell.
the owner said "Just stand, quietly. They won't bother you".
He was right, they were on a walk, not interested in DD
.
If they'd done the "Oh they love children", she'd have thought "Eurgh they're going to slobber on me"
DS, is never averse to a bit of slobber .