Can anyone identify this inductor?

You lower the DCR because you need to lower the DCR.  Lowering it in an existing/working crossover can be detrimental.

Working with DCR can help you compensate for baffle step effects without a separate baffle step compensation circuit.

One major reason you might want to go with iron core is that otherwise your coil would be too big.  If you need high inductance, low DCR and smaller size/cost iron core is the way to go. More inductance = more windings, longer wire.  Naturally, more wiring would normally add DCR so at a certain size of indcutance, like you might need with a very low frequency low pass filter a standard air core may be too big or heavy or expensive or impossible.

@clustrocasual ^^This.

I just happened to discover it. Its a Lundahl which was rebranded to the loudspeaker company, maybe a slightly custom one, but markings on the label and the rest of it is identical. Its in the crossover.

Lundhal says :

Tube microphones. Silicon-iron C-core, which results in a transformer
with more "transformer sound character", compared to a classic mu metal
lamination transformer. PCB mount style.

So, was this chosen for euphonic character maybe? By the way, the crossover has some huge traditional copper coils on it so they are not afraid of taking up space.

It is a transformer! Interesting!

So what is the brand and model of the speaker?

Can you post a picture of the crossover?

Amphion. But there are no photos online, probably because the crossovers are tucked way inside and strongly glued in. When I asked them about it, they declined to answer.😏