Wow, your post has really reminded me of how I felt when my son stopped BF. Do you want to be done?
I fed DS 1 ( and only) until 2 1/2 and I remember that feeling of not quite believing I'd gotten away with not feeding him and a bit of anxiety that he was going to demand it again and that would put me in a position of having to go backwards, (or so it would have felt) or alternatively I would have had to upset him terribly and refuse which would have led to major tantrums.
Thankfully, I didn't have to refuse. I can't remember exactly how it all wound up, but I remember it took a while, maybe a week or two for the disbelief and slight anxiety to subside before I could really say we'd stopped - HOORAY!
If you want to stop and you can dissuade/distract any further requests, then I would suggest you do, for the reason that I could foresee a lot of starting and stopping and teaching them that BF is something to be fought for and won, which might crop up in times of emotional tension (or maybe only my DS has those.) Just a thought, anyway.
I'm really glad I BF for as long as I did and I didn't want to stop before DS was ready, but I was SO, SO glad when he did. In my mind there was NO turning back (although as I said I was dreading a big upset).
Good luck, hope it works out smoothly.