So, do the fortunes have any lore behind them?
What I've found with 2 sets of characters.

Love (your Patron deity & partner's birth month?)

Byregot & 1st month
Azyema & 7th month
Resulted in 3/3(?) maxed affinity.

Thaliak & 1st month
Halone & 7th month
Resulted in 1/3 worst affinity.

Even looking at their relations, I'm not quite seeing how the results came to be.

Is it merely based on the presumption that a god of wisdom and knowledge wouldn't mix well with a goddess of war?
Further a god of arts and a goddess of the sun and inquiry mix apparently well together? Wielding a two-headed hammer (armorer? maybe blacksmith?) requiring fire (element of Azeyma) to create and/or the sun providing light for creation?

Companionship (race & job?)

Lala healer (both)
Resulted in 1/3 worst affinity. Like why?

Miqo'te healer & Au Ra healer
Resulted in 2/3 average affinity.


Fortune (your starter city & partner's birth month?)

Gridania & 1st month
Gridania & 7th month
Resulted in 2/3 - average affinity.

Ul'dah & 1st month
Ul'dah & 7th month
Resulted in 3/3 - maxed affinity.