I was ready for this one, but didn't get it. Babies ask to be bf from birth, that's what crying is. So just because they're asking in a way we can understand doesn't make them too old. I taught my DD to pat me on my chest from about 6 mths when she wanted a bf. I would ask 'boobie' and pat my chest and she'd copy at first and soon she'd just pat me on the chest whenever she wanted it. And she sure wasn't too old to be bf when she could do that!
It's only in our current Western culture that you hear that (and I'm embarrassed to admit that I felt this way before DD. So just by letting people know you're still bfing can have a big impact, even if you don't realise it. It's what helped changed my mind, seeing others still bfing their toddlers and children).