You ever find a resolution to this? When I define the snapping distance for the route layer in the mxd and publish - they do not seem to carry over to the published service, and I havent seen a way to control it via rest or in the service definition.
I have a network setup with lots of points that are a very significant distance off the network - some a hundred miles or more. I cannot get a route to solve unless my point intersects with that line - exactly.
Its likely I am missing something as this NA is new to me.