Unfortunately 'Rugby' means Union in most parts of the world. Saying League may do the job in a generic type of way but then a lot of people need the situation explained and that there really are 2 types of rugby. It is just unfortunate the duller version seems to have monopolized the term.
So if League decided it was going to change its name, what is your choice or suggestion?
Note- This isnt about whether they should change the name but what the best alternative would be if they did.
To start off