Why would you assume he would compensate people for something that was being removed?
Maybe because before the election, Abbott promised to keep those tax cuts after repealing the carbon tax?
But you are right, I didn't assume it would stay. At time Abbott was making a whole pile of promises and he could not keep then all - balance the budget, reduce taxes, keep all the benefits those taxes paid for. But by that time hearing him make promises he could not keep was no surprise. It was clear by then the man would say anything, do anything, prostitute anything (including the sexuality of his daughter) in order to get into power.
Amazingly this extraordinary behaviour got worse after he was elected. (Amazing to me anyway. I didn't think it was possible.) First we had a promise to be an open transparent government, then a week or two later we learnt a phrase: "on water matters". Who still remembers the no surprises, no excuses government speech he gave after being elected. Probably not too many, given the shock the first last budget inflicted.