As you're element, aether is not good for much but empowering magecraft you tend to focus on...
Not quite true.
Subconcepts include unification and division, so it's good at combining multiple spells together, manipulating the spells of others (composition, dissolution, modification), attaching spell effects to items (conceptual weapons fall under this element), and subelements include Life and Holy, so it's also the healing element.
It's the metamagic element, letting us modify our non-elemental spells on the fly, the artificing element, great for anchoring effects long term, let's us do minor redirection or hacking of other's spells, and is good at healing.
What it doesn't do is open up new direct options - Fire mages can use their element to effect energy or heat, Water mages can control cycles and flows, but we can only toy with the magical effects our system can produce independent of Element (and, of course, the effects of others).
This makes us an invaluable assistant for any more involved or delicate magecraft (which Hermoine is likely to be doing in spades), and basically means everyone wants us to spend time helping them with their thing. Downside is that we're still just
assisting - they still get first credit on the work, it's harder to make a reputation for ourselves, and the only way to work towards the Root ourselves is to get ludicrously good at our base magic system and set things up just right to get a conceptual connection with judicious use of metamagic.
Ah, isn't this a bad thing though? To magi their lineage comes first over any friends they make.
To magi progress to the Root comes first, which usually means ensuring that as much power and as many mysteries are passed on to the next generation as possible, since it's a multigenerational goal. If our families are professional rivals, they'll be unhappy, but as long as we help Draco make progress to the Root (easy enough for Aether Element), and as long as he opens doors for our research (easy enough for Family Scion), they'll grin and bear it.
Plus, if our mother really did die almost reaching the Root, you better believe the Malfoys will be considering marrying us off and getting that research and eliminating a rival in one fell swoop. Besides, the drama of unhappy families is rich plot material - oh, the assassination attempts, oh, the espionage. Think Soap Opera, and you get close to the labyrinthine politics of the CT.