every extraverted function is designated as 'objective', and every introverted function is 'subjective'. In fact, Jung makes many points earlier in his book about how he believes that earlier philosophers often conflated a judgement process with a perception process.
Anyway, you are balking because Jung's definitions differ from conventional mental pictures of objectity and subjectivity. But in the conventional vision of this, only extraverted thinking gets elevated as some form of supreme objectivity. That is how our culture sees it. I think a step toward this is a step backwards.
Yes, Jungs definition says that extraverted FEELING is objective too!
Here's something from Building Blocks of personality type about introverted thinking:
"In reporting after an excercise, the individual members of this 'type-alike' group usually elaborate on what was written on the flip chart. They want to ensure that thier own unique perspective is understood. They do not feel a need to come to consensus about what is presented on the flip chart, just to ensure that all the different ideas are presented"