Not quite sure what you’re asking, so excuse the random nature of my reply.
If nursery try to enforce any change (ie if not mutually agreed) they must allow the contracted notice period and give you the option of leaving instead.
Settling is a complex issue in which adults frequently make the mistake of thinking they can find simple reasons/solutions, so I’d treat all answers (mine included) with extreme caution.
The attendance pattern could be contributing to the problem. You’re giving your daughter two days to get used to nursery, then five days to get used to not being at nursery. Not sure if you have an alternative though.
Before starting nursery, did you give DD much opportunity to be without you? Most children don’t dislike the presence of nursery, but they do dislike the absence of mummy. This is a problem you solve with preparedness before starting childcare, by letting baby spend significant periods of time without you.
To be fair, nursery have been trying to find solutions; it’s just that those solutions don’t fit well with your work pattern. Not your fault, but neither is it a justification for the usual knee-jerk “find a new nursery" replies from PPs. They’ve given one to one care and constant pick-ups rather than leaving her to cry. But they do have to consider the effect on all the children. It’s all too easy to say it’s their job to deal with it, but they are dealing with it by considering every child’s needs, not just the one. If every child needed such one to one care, they’d have to employ many more staff, and parents wouldn’t want to pay for the increased cost.