For my own personal opinion, if the kid is old enough to ask for the boob, the kid is too old. I know someone who's kid will walk up and say "mom, milk!" and point at her mom's boob..that kid is too old IMHO.
I've never understood this logic. Are they too old for everything as soon as they can ask for it? My son could tell me he wanted milk before he was a year old...guess I should have switched to formula?
OP, I would probably hope they weaned by 3 as well, but if they weren't quite ready I wouldn't push it yet.
Around a year we day weaned and he just nursed at night. It wasn't completely without tears but he completely weaned over a few nights with the help of DH at 19 months.
My original goal was to just breastfeed. Which I think for most FTMs is that right attitude.
Unfortunately a lot of FTMs that want to breastfeed can't get past the initial weeks, how long it takes to feed, some of the discomfort, how freak'n tired they are because they're the only one that can feed they baby, and they give up because they think it will always be like that.
It won't be.
My MWs told me it gets easier at 6 weeks, 3 months and 6 months. For me that was true.
I found between six months and a year it turned into a lot less work and lot less time and the sheer convenience of it, no bottles, easy way to soothe, so portable, burned a lot of calories for me, made it easy to just keep going.
And yes, sometimes my son asked for it. He would cuddle up, smile at me and pat my boob. A much more pleasant way to ask to be fed than you're ever going to get from a four week old baby. What's so wrong with that?