I’m VERY familiar with them which is why I’m sure this whole thing is a joke. This is a bass guitar forum in case you missed that.
They were positively awful, phenolic-linen diaphragm with terrible high frequency extension and lots of distortion.
I studied Linkowitz-Riley filters in the 1970’s, they were a specific implementation of the Butterworth alignment built out of the Sallen Key topology. The primary benefit was that when the Fo was specified at -6dB, the low pass and high pass sections combine in a way that the power always sine to one versus frequency. This is called a constant power summing crossover and actually existed before it was called L-R alignment. It was just a pair of underlapped Butterworth filters beforehand.
Since both Linkowitz and Riley both worked at HP, their work was studied as part of my course work since HP recruited heavily from my university. It wasn’t a secret, it was just that they formalized the definition.