Without seeing the analysis, but trying to remember the movie:
Shrek doesn't really change by the end of the movie.
From the start, he maintains that he should be allowed to be seen as more than "just an ogre". This seems to be his real drive. I'll admit that there are numerous instances where Shrek seems driven from wanting to be left alone, but Shrek's claims of this happen any time people refuse to view him as anything more than a monster. Shrek still wants people to see him as more than ogre at the end of the move, but now someone does.
On the other hand, Fiona is insistent that she is a princess who must await her true love, and moreover, is convinced that her true love will be human. I think she even goes so far as to refuse Shrek's help at the beginning of the movie, initially, because he can't possibly be her true love. He's an ogre. However, by the end of the movie, Fiona has not only become open to, but embraces, the idea that true love doesn't care what form one takes, which is completely counter to her initial attitude.
- Thus, though Shrek grows, he hasn't really changed from his initial outlook.
- Fiona, on the hand, has definitely changed from that initial outlook.