aloha - great insights
Got me thinking of the way women are sometimes encouraged to fear this whole control thing - the idea (for example) that feeding even a newborn as often as he seems to want/need it is somehow 'spoiling' the baby and 'making them too dependent' is quite a scary one for some mothers. We still live in a world where mothers (to a lesser extent than fathers) may not have a great amount of control over their lives, their bodies, their choices. The notion of a very small person exerting quite a lot of control over all those aspects may take some handling.
Two year olds need and demand and truly have to have attention on their terms - they have hardly any true empathy. It's part of parenting to teach them how far the world doesn't actually spin on an axis of their making. That's a gradual thing (can take up to 20 years ) and it seems to be that breastfeeding can be a part of that, in a relationship where breastfeeding continues.
So the toddler learns that it's not always convenient to bf; that there may be some places where it's more difficult than others; that you don't do it at granny's; that sometimes mummy is busy doing other things or attending to other children.
Other parents who don't 'do' toddler bf will almost certainly have other areas where this learning takes place - as of course the toddler bf mum will.