Jennapuss
If your DH is likely to be at home often on the days you would be working at home, then surely that IS having childcare, and you could rely on him to look after your DD while you get on with your work.
I don't think people are being deliberately unsupportive - more just trying to be realistic based, no doubt, on their own experience.
Your comment that "my personal view is that my primary role is as a mother and my paid work has to fit round that" is all very well as a personal belief, but I doubt very much that any employer will be sympathetic and supportive of that ad infinitum - perhaps during a child's illness/ maternity etc yes, but not on an on-going basis.
I think your feelings about this are typical for many mothers of small children, but this is why so many of them leave the workplace, or reduce hours or become self-employed etc?
Please don't get angry with people here for being honest. Like I said before I think you are angry with the situation you find yourself in - the responsibilities, stress, workload, lack of choice and control?
You're right, ultimately it is between you and your boss, but I can predict now what the outcome of your discussions will be if you begin to share any of your sentiments from this thread!