This word is "Graduality", and its definition is related to how the Church looks on protestants and other religions as having certain truths in them that the church can affirm. So too these promoters of Kasper want the Church to recognize that the irregular unions that are entered into can bring about good fruits.
My first thought is simple:
When a religious scheme is shattered (as Christianity was shattered at the Reformation), it is not merely the vices that are let loose. The vices are, indeed, let loose, and they wander and do damage. But the virtues are let loose also; and the virtues wander more wildly, and the virtues do more terrible damage. The modern world is full of the old Christian virtues gone mad. The virtues have gone mad because they have been isolated from each other and are wandering alone. Thus some scientists care for truth; and their truth is pitiless. Thus some humanitarians only care for pity; and their pity (I am sorry to say) is often untruthful - GK Chesterton, "Orthodoxy"
There might be good intentions and the couple might eventually be led back by natural events that occur within the marraige, that is one thing. But lets not confuse having the Church affirm the disorder of entering into that is not a marraige by saying people can take communion because they have a possibility of coming back later. Thats either Jesus or its not, and if it is that action is sacrelidge, plain and simple.
So Bishops and Pontiff, be BOLD, call people to take up their cross, for it is their salvation