Simply put, the function of introverted thinking comes up with new things. Not ideas -- things.
Beta Ti observes how objects move together. If applying force to one object moves another, then they can be though of as the same object. (a "compound") Alpha Ti tries to identify this object as something that is related to other objects, thus giving it an identity. Identities are constructed based on what properties an object has and which it doesn't: property 'X' is true for all objects of category 'C', not true for all objects of category 'D'. Therefore if an object has information aspect 'X' (reckoned with the EM processors) then it must be a 'C', not a 'D'. Note that all properties are information aspects: there is no appreciable difference between the two concepts, because every property can be classified (via Ti) as an information element.
Beta Ti observes that objects exist and are distinct; alpha Ti gives them identity. Notice also, if you change the Beta Ti situation by combining objects together or breaking them apart, you also change the alpha Ti situation by creating a new identity for the object. The ascription of beta Ti changes to alpha Ti changes is what we call science. I would argue, that what we call theory is the ascription of changes observed through alpha Ti alone to direct changes at the beta Ti level.
And on that notion, allow me to opine that producing subtype LIIs have more respect for theory than do accepting subtype LIIs, because they more readily translate identities into real-world phenomena. Accepting subtype LIIs prefer science, producing subtype LIIs prefer theory.