I think the problem of the other Jobs not being personally engaging is that they're centered around the culture and history of other civilizations and do not have a precedent for something like Fray. PLD is about the Sultan[a]'s praetorian guard, SCH is about Nym, SMN is about its Allagan roots, DRG is centered entirely around its relationship to Ishgard, AST is about Sharlayan politics as much as it is about astromancy, etc. DRK just makes it personal and explores the concepts of "justice" and "sacrifice" in a context beyond Ishgard.
WAR is also a bit introspective and personal, though it requires deeper consideration and lacks a blatant "other self" like Fray and Myste to make it absolutely clear. I did the 30-50 line just for research on the subject. 50-60 also imply it, and I have yet to run the 60-70 line but from what I understand the trend continues.
(Also, any time someone brings attention to the breaking of gender roles, it ultimately undermines the concept of gender equality by implying that it is an exception and not the status quo. Please don't drag gender politics in here.)