How is enlightenment or mindfulness reflected in the functioning of the aggregates? How are the aggregates affected by a person's becoming enlightened or more enlightened?

I'm guessing that some aggregates (e.g. "form" perhaps) are not affected, and some are.

I'm asking, hoping to better understand what an enlightened state of mind is, or in what way it functions differently.

How does "mindfulness" affect the aggregates, what's the change (in the functioning of each aggregate) depending on whether or not you're being mindful?

Is this a wrong question -- were/are the "aggregates" only taught in the context of their being something inconstant and not worth attaching to?
How are the aggregates affected by a person's becoming enlightened or more enlightened?

As far as I understand , for an enlightened mind the aggregates will cease to exist because the mind will no longer cling to the aggregates. Because with the cessation of clinging, cessation of existence … cessation of birth … aging-and-death, sorrow, lamentation, pain, displeasure, and despair cease. The cessation of this whole mass of suffering will happen. This includes cessation of forms, feelings,perceptions, consciousness and volitional formations.

How does "mindfulness" affect the aggregates, what's the change (in the functioning of each aggregate) depending on whether or not you're being mindful?

To be mindfully aware of not clinging to the aggregates(as long as they are present) is mindfulness. Logically for a mindful person aggregates will cease to exist once enlightenment is achieved. 

Is this a wrong question -- were/are the "aggregates" only taught in the context of their being something inconstant and not worth attaching to?

Aggregates are taught with reference to getting rid of the idea of self which is present in most of us. Conceiving self is like a disease and a person conceives self through the aggregates. Aggregates are taught in this context.

I have tried to answer logically based on whatever I have learned till now. Hope this helps.