My current solution is to add the routedistance to every route name.

IMO this is very good practice especially if you share routes with friends or other riders who use different navigation systems
When they load the route they can very easily see if their navigation system has correctly calculated the route by comparing their navigations systems calculated mileage to the mileage in the file name

I still add the mileage to my route names as a check that the MRA app is actually loading & calculating the route I planned with the MRA web planner!

IMO on a 6" phone screen there is not enough space for any additional columns for mileage or time & certainly not for both