Full range stand mounted speakers

I have found the Sonas Fabers to be very well balanced. but much tamer top end than your GEs. Revel and Dynaudio pretty well balanced.  You will be glad to get rid of the brittle distortion the AMT tweeters produce.  Or if you like it, might I suggest the Elac? The MOFI 8 I thought was pretty good. 10 not so much. The CSS kits or built are very good. 

I would think the individual vertical strings of the Sonus Faber would be much less interesting to cats. They also sound fantastic.

I use the Monitor Audi Gold 100's for my stand-mount stereo speakers.  The sould is great without a sub (50hz - 20kHz).  Take the grilles off and you see non-fabric materials.

If you have woodworking skills or can pay a cabinet maker to build them, these are nearly impossible to beat for less than $15-20K!! The F3 (-3db) is 33hz so pretty full range! 
https://www.diyaudio.com/community/threads/jeff-bagby-helios-speaker.373041/