scummymummy/bloss - you both mention "baby", "babyish" etc several times. For long term b/feeders (I hope I speak for everyone) it is not a case of "my son still breastfeeds THEREFORE he is a baby" We know all too well that our children have moved out of the 'baby stage'. Being breastfed doesn't make your child more babyish or your perception of them still remaining as a baby, it is not some static viewpoint. This is just remaining within the world view that it is only babies can breastfeed and therefore if they aren't babies then it is wrong.
Paradigm shift.
We know they aren't babies and aren't staying in some neverneverland of babyhood. We move on, along with our children's development. We just accept that they can still breastfeed when they are walking, talking and all the other things and yes maintain that level of intimacy.
Yes it is largely something that is done at home, I'd not b/feed a toddler in public because it does become something private. Same way you'd not plonk your two year old onto a potty in public. As I said before all the imtimate body things with children lasts a long time, well past babyhood. A 4 year old still may need help going to the loo for example.
I can understand that you don't want to share your body with someone else after a time, that obviously happens to everyone, it is just that we do it a bit later than some. When you look back and it takes a whole 18 years or so to make a fully mature, responsible person it hardly matters that you continued breastfeeding your baby/toddler/or whatever they are called till they were 2, 3 or 4.