You've gotten a lot of good responses and anecdotes here, and I'm just going to say...it depends.
You are pretty young to be making decisions on staying together on the kid front, especially with one of you "leaning no" and the other "leaning maybe". That's not too far off from each other.
The person (s)? who said "imagine yourself in 6 years after WASTING your time on an LDR, only to end it" has a good point.
The person (s)? who said that LDR's work and you should give it a chance, have a point.
I've seen every combination in real life.
I've got a friend whose boyfriend broke up with her at 30. This wasn't even an LDR. So man, she wasted her "best years", then it was hard to meet people, so there went her chance at having children. (she married at 37 and had 3 kids, one at 38 and twins at 41).
I've got a friend who had a number of years in a relationship with an older man - she was mid-30's, he was 50 with two kids. She eventually ended it (he was not good for her). He was sure it was because she wanted children and he was "done"). Really, he was an asshole. She's 37 and single, but dating.
I've got friends who are married and no kids. The wife was mostly "no" and the husband was ambivalent. They are insanely happy.
I've got a friend who married and divorced, then dated a divorced dad of two teenaged boys. He was "done". Oh, and technically not divorced because they couldn't agree on alimony, etc. But separated. Her parents and friends told her to "dump him" because she wanted children and he most certainly did not. She was around 38 and he was 48 at the time. Those of us "further" from the relationship said simply "it's your choice, you know where he stands." Well, they had two boys (still not married) in her late 30's/ early 40's and his late 40's/ early 50's. You know, he's not a very involved dad, which makes me sad, but again, it was her choice. She's a good mom and the kids are adorable, if unruly.
My husband and I met in our 20s (right after college for me, we were in the Navy). He moved cross country for grad school when I still had 2 years to go. So: long distance. He wanted kids, I did not. We didn't really discuss it in depth in our 20's, or perhaps we would have not gotten married. Those two years were HARD, because you kind of lose touch with the other person (there was no face-time or whatever back then, just the phone).
Marrying him was the best thing that I ever did. We made it work, and we've compromised since. The second best thing I ever did is have kids (he talked me into #1, and #1 talked me into #2). I would probably still be blissfully happy without children, because I wouldn't know any different.
You say "I'm sure I'll be fine after it's over" - only you can know that. I think it's a personality trait that lets people move on (I have that trait myself). Honestly, I wouldn't dump a great relationship over distance or "possibly maybe someday kids".
(I did end a relationship with my college boyfriend right before he went into the Navy - it wasn't working, and mostly because he wanted me to "follow him" when I got out, instead of pursuing my own career. That just wasn't going to happen to me at 22.)