It is down to the EU to clarify their objectives.
There is a theme in your posts, particularly your more recent ones. The theme to which I refer is that you seem blinkered and have lost sight of the fact that it is entirely within the gift of the UK government to secure ongoing rights for British people living in the 27 sovereign states of the EU.
This is simply another area which amply demonstrates the ill-conceived notion that exiting the EU would be to the benefit of British people. It cannot be the responsibility of the EU to secure benefits for British citizens when it is the UK which has triggered secession. Had the EU expelled the UK from the union, I could see an argument placing some onus on the EU.
The first matter on the UK's agenda should have been to
offer an assurance to the EU states that nothing in the subsequent negotiations would be to the detriment of EU citizens living in the UK and that we seek a similar assurance from the EU in respect of British citizens living in the EU.
The British government has entered into these negotiations with no plan and is most certainly using a number of our own citizens as bargaining chips and that is wrong. The uncertainty for those Europeans living and/or working in the UK is equally wrong but while you are right to express concern for people on this occasion, rather than your usual trade/economic/monetary matters, you are nevertheless wrong to place the blame for the present situation on the EU.
It is not for the EU to clarify its objectives because we know what those are as we are still members - it is incumbent upon the exiting party to provide such assurances as necessary to ensure the safety and well-being of its citizens post-secession. I don't understand how you can possibly seek to place blame on the EU for matters that should have been considered by the UK. We knew the rules in regard to membership and it is our choice to terminate that membership - it would be perverse to imagine that the EU has any obligation to fix matters that the UK government should have planned for.
Tom