I’ll just write them here, and we can find them in the future.
#EQvsSQ 
Essentially it’s a Mechanism conflict.
Each treats the other one’s main tool, as a disposable trade-off. 
Stark’s eventual pursuit is Fame, and it works from the inside-out.
It explores self-development on the user’s strengths and passions; so as to reach a level of mastery where they can invent something new / do something that has never been done before. SQ’s learning and creativity are oriented towards that goal. 
And most of what is done, isn’t planned. SQ relies on Luck and Synchronicities to make forward leaps – because inventions cannot always be strategized.
Hence, Stark users need to reconcile
– their comfort with Social Fame and Attention;
– their self-belief in their Passions / Strengths / Learning ability / Creativity; and
– their Faith in Luck, that life will turn out great for them.
Emperor’s pursuit is Freedom (FU Society), and works from outside-in / end-to-beginning.
It chooses clear measurable goals, and your next action nudges are key domino actions that will move you forward. The user will take whatever opportunities they have access to, and are not concerned about whether it’s a skill they enjoy or not.
EQ relies entirely on productivity – plans, habits, routines, systems; because we all know what we really need to do to achieve our goals, and waiting for luck is just … waste of time. 
Emperor users need to reconcile
– their ability to set & pursue Specific Measurable Goals, execute Planned Routines;
– their volition to sacrifice their own emotional passions in the pursuit of Freedom; and
– their willingness to stop timewasting – both in themselves and others.
Note:
Obviously, both EQ and SQ also have their scripting for fitness, spirituality, dating, etc.
A user will find that in all these areas too, their Mechanisms (Approaches) are poles apart.
Tagging @Azriel