I hate to wade in but here goes:-
DD1 bf until she was 3.6y. She self weaned early as she got the gaps for her back molars very early - the shape of her mouth changed and her tongue no longer made the right movements to latch on. She had all 4 of her adult molars by 4.9. Her dentist though she was 6 or 7 (in school uniform and is tall).
Do you know who cried that last time she tried to nurse? Not me, my DH. He cried as the last of what she had done as a baby was gone (even though for him at least he didn't feel bfing was just for babies), he had fought so much for her to be bf and done so much to help me bf her that it was the end of an era for him (he, in no way, has ever tried to get her to bf when she didn't want to nor did he ever try to get her to continue to bf).
DD2 is nursing at 4.2 - she has HMS and spent most of last year in agony as she had Juvenile Idiopathic Arthritis, the painkillers ate away at her stomach leaving her permanently nauseous and with little appetite. Guess what helped her? Nursing - she nursed as much as she liked and it eased the pain, it also mean she didn't lose weight or stop growing as what might have happened if I wasn't nursing her.
I have nursing aversions (I don't often admit it as I feel ashamed that I feel this way) and I hate nursing her (again something I don't admit and I am crying at posting this) I have done since she was a tiny baby but pushed through for her sake BUT she needs it for pain relief, to relax after a hard day and when she has the JIA, when she struggled out of bed, her legs bent in agony, knees and feet bloated with inflammation, redness marring her perfect skin and asked for Mama Bah I damn well gave it to her regardless of how I felt.
Who the hell could look at her aching body, while she tried to vomit in pain from her meds, and say 'No, you may not have Mama Bah, you are too old for it, I don't care if you need it and it takes your pain away, people on the internet say it's creepy and wrong and disgusting and it's all about my needs not yours.' 
I don't want everyone to bf, or force people to bf, I want people to leave natural termers alone, it's a hard lonely place, is this country to bf until your child doesn't want it without having nursing aversions (and before anyone says it - it's not because of her age, it's dates back to a terrible appt with a psychiatrist when she was 7wks old before that I was fine, I had it with DD1 in similar circumstances, I haven't had NA with DD3 as those circs. have never occurred with her and she is 2.3y) so please be kind.