It does not mean the Church agrees with every opinion expressed by the person concerned. It does not mean the person has been ‘reinstated.’ It simply means that the Church no longer regards the person as being outside its fellowship, and therefore excluded from salvation (always allowing for the hope in the constant mercy of God, it should go without saying).

So there is no reason at all for anyone to be up in arms because the Pope has lifted the excommunication of any person who has reaffirmed his commitment to Christ, even if that person happens to be a compete idiot who would do himself and the Church a big favour if he left his moronic opinions unsaid.