Toeing the Speakers outwards towards being 180 degrees aligned to the listener is a great tamer of a overbearing projection of high frequency.
More importantly a revisit to the geometry used for the Speaker in the listening space does not cost money, unless you call in the services of a removal company.
The Pro's that are to be found from such a activity can far outweigh any other methodologies being considered.
Also don't overlook the age of the Speaker and a High Frequency that shares Two Drivers, the Crossover can be showing its lost its youth and is not blending the Done/Ribbon as per the optimised design.
http://static.hifi-forum.de/produkte/336/bedienungsanleitung_dali-euphonia-ms4.pdf
https://www.youtube.com/watch?v=k1qvQ-ffuYE
There is a service referred to on the Gon, where a individual will design a upgrade Xover for a Speaker.

