Hi D.
I'm a mother of 4, all breast fed babies. I've learned that it can take longer for breastfed babies to sleep longer strecthes through the night. I've also learned that mommies will make decisions based on what makes them feel more comfortable.
I've done both. With my first child it seemed so easy to put him on a schedule, even with night time feedings. He was such a gooooood baby. I think at about 4 months I started feeding him less through out the night, he cried a couple of nights and then his pattern changed and he was sleeping through the night. To be honest, I put him on this schedule because I thought that's what I was supposed to do. I was a nanny for newborns out of highshcool and this is what we did to give the parents 'peace of mind'. In any case... this going so easy, I thought it was a piece of cake and it gave me a false sense of security...here is why...
Then I had my twins...even at the hospital, while i was still in pain from a c-section, I was full of myself thinking it was going to be a piece of cake. I practiced feeding at the same time - got pretty good at it - to build my supply and to "eventually" place them on a schedule so they would sleep through the night. One of my twins just wasn't having it. He was little, but boy could he cry. He put up a fight, it wasn't 2 days as I thought... I tried for about 2 weeks to let him cry again thinking that I had to place him on a schedule. Then Igave in completely thinking that it was completely ironic thinking that "I had to" place him on a schedule. When I talked to the pediatrician, he told me that my girl was most likely sleeping through the night because she was a harder sleeper, not that she wasn't hungry, but lazier to wake up and eat. He told me that it was very normal for breasfed babies to ween off the breast for nighttime feedings later than bottle fed babies. So I learned...If he needed to eat more than his sister, than so be it, if he needed to just take in the scent of his mother to fall asleep, so be it. In the end, that made me feel more comfortable.
Then I had my 4th child, and I fed him when he wanted up until 9 months! I tired to make it as non-eventful as possible. his crib was in my room, i didn't turn on any lights, I would just transfer him from his crib to my bed, and then try to transfer him back (mostly, unless we fell asleep together) and I was fine with this.
So I guess what I'm saying is that you'll have to do what you feel is necessary and what makes you most comfortable. Every child is different, every mommy is different. So if you feel that you will lose your sanity if your child doesn't begin sleeping through the night, and that you can let him cry because you know he'll be eating in the morning, so be it. If you feel more comfortable feeding him as he demands, then do so. Either way, you and your baby will survive.