Were I live breastfeeding is sort of the norm (in the sense, breast is best, as long as it comes easily to you, you have lots of milk, baby is gaining really well etc).However,most mums I know stopped breastfeeding around 6-8months, and frankly, usually the mums claim the baby self-weaned. And what it sounds like is this: Baby started crawling, got to busy to ask for feeds and mum never offered, instead making a point of offering snacks (because the well baby nurses get rather pushy about solids around that age). And so, parents worry about dehydration, gives more water or juice, which of course takes the place of more breastmilk. By then parents often get concerned about baby's nutritional intake, and start giving a bottle of formula. And, all in all, within a couple of weeks, max a month, baby has "self-weaned".
The problem with this is that the baby is much to young to do well without breastmilk. To me this is a health/safety issue. It is similar to having a three year old who wants to play in the street - that would be child led too - but you as an adult know that cars drive at 50 km an hour there, and your child is much to young to cope with that. Or another example, my 15 month old likes to climb, and often tries to climb up on our washing rack. It would collapse under her weight, and not only send her crashing onto wooden floors with concrete right under, but also come apart in lots of poking parts which could poke out her eye or puncture her spleen or lung etc. While I want to leave her free to explore as much as possible, I won't let her climb on the washing rack. There are many other places she can climb, like the sofa, the shelves (bolted to the wall), kitchen table (sturdy) etc.
If the weaning child instead is 2 yo, the situation is very different. I guess you have to decide the cut-off age: is it 1 yo, 18 months, 2yo?
Edited to add: As a nanny I have known several children in the past who needed to be reminded to sit down and have something to eat - they just got too wrapped up in playing and forgot (my sister is still like that at 28! Although she has to remind herself, of course...). Until they crashed, usually, on a blood sugar low. I'm all for leaving a snack tray out, but it just doesn't work for all children. Some really need the break.