I would assume EVERYONE is "able to log in" but its just a matter of if you get lucky/unlucky enough to get d/ced along the way. This would be the same for free or paying accounts I would imagine.
Again this is not some spite from SE, this is just the predictable outcome of any launch day, high volume in a small time frame = problems.
However I would have hoped a simple thing like "saving place in que in case of a d/c" would have been prepared and thought of prior to this.