I created a simple route using the "Trip Planner" and saved it. In the "Trip Planner", when you create a route, it is saved under the heading "Saved Trips". If you import a route, it is saved under the heading "Imported Trips".
Creating a route via the "Trip Planner" did not solve the problem.
I also tried your suggestion of tapping the route to get a flag and saved that point. Which placed a new entry in my Saved --> All Saved Places
That also did not fix the issue.