The girl who leapt through time...and stayed there.

I didn't come up with this idea and it sure as hell isn't how I interpreted the movie, but one of my "friends" somehow decided that Makoto's aunt, Kazuko Yoshiyama, was actually Makoto's future self. What lead him to believe this was what her aunt said near the ending of the movie, which was...

Yoshiyama - "I first fell in love in high school. We became really close as soon as we met. It was like we'd known each other since childhood, but it was over before we became adults."

Makoto - "Why?"

Yoshiyama - "Probably bad timing..."

Makoto - "What's he doing now?"

Yoshiyama - "I wonder...he said he would definitely return one day."

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Now, I have several of my own ideas (besides my common sense) that lead me to believe that this isn't true.
1. Her name is Yoshiyama Kazuko, not Makoto Konno, and I doubt she would change her name later in life.
2. You see a picture of her when she was young, and she had long hair.
3. She stated that Makoto and herself were different types of people.

Although one thing isn't clear to me yet. If someone leaps (forward) through time, and they decide not to leap ever again, do they stay there? Because it seemed to me that Makoto would always be forced back to the original time she jumped at. But when she leaps (backwards) through time, it seemed she had to stay there and re-live everything over again.

Of course, I could still be wrong and I like to have an open mind toward interesting ideas. So if anyone reads this (lol yeah right), could you please put in some of your own input? I guess you can side with either me or my "friend's" interpretation; maybe you even believe something completely different.