I suggest adding a Permalink somewhere when using /map so that users can share a route without having to 1) register and 2) save it. BRouter offers this, and it's pretty useful.
Even better: The URL should be short, so that it can be shared by eg. email without having to use a third-party like Bit.ly.
En passant par le Pont de Puteaux puis la Passerelle Jean Moulin, soit La Défense par la face sud sans mettre pied à terre
When preparing a trip, I start by building a new map of things to see in Google My Maps (because its search engine is much better than OSM):
But since GMM's router is pathetic, I have to open a second tab where I'll use Cycle.travel to build routes to reach all those waypoints, switching back and forth with (SHIFT+)CTRL+TAB. It does the job, but is a bit cumbersome.
My suggestion: Make it possible to upload a file (GPX or KML: GMM only exports as KML) as an alternative to an empty map to get started.
One of the great features of Cycle.travel is being able to draw a route and download it as a file without having to first save it onto the server, which requires registering + logging on.
I suggest adding a feature: Make it possible for the user to type a name that will then be used by the server as file name + "<name></name>" field in the file, as a more explicit alternative to the current "cycle_travel.gpx" and "<name>cycle.travel</name>", respectively.