I use BikePGX, as advised by Richard. I don't understand why importing in BikeGPX from CT dos not work
Strangely, BikeGPX only imports from url. It does work from other site that offer sharing a route via url, but it doesn't from CT. I have imported successfully to other sites from CT via the copied URL so this is very odd.
I know this is more a BikeGPX question than CT, but there might be a work-around that I haven't found out which could be shared.