Dan, the tweeter is a high end Eton 1" soft dome, which I know Lou is particularly proud of.
On my Ulysses there is a three-position tweeter level switch on the back, which can be set to provide a slight boost or cut, the intention being to increase its adaptability to differing rooms. I don't know if the Athena has that same provision, but I would suspect that it does.
With that switch in the neutral position on my Ulysses, I have been sufficiently pleased with the overall tonal balance and with the integration of the treble and midrange that I have never bothered to even try the other two positions.
Yes, I don't think the treble would ever be accused of being etched or over-aggressive. And I would expect there to be some listeners who with some music and some ancillary equipment would find it to be slightly too soft for their tastes, at least with the switch set to the flat position. On the other hand, among a great many comments I have seen here and elsewhere from those who actually own Daedalus speakers, I can't recall ever seeing any misgivings expressed about their treble performance. And whatever small tendency there may be in the direction of softness does not seem to compromise the speaker's ability to accurately reproduce fast transients.
I'd expect there to be some Daedalus owners in your neck of the woods, Dan; as David suggested earlier in the thread consider contacting Lou to see if he can put you in touch with someone willing to give you a demo. Also, keep in mind that Lou offers 30-day return privileges, less two-way shipping and a $300 restocking fee.
Best regards,
-- Al