I have two generations of Focal tweeter in this room as I speak (the Electra 926's are still here, behind me and the Be's are in front and connected)) and I understand why they (and similar high performance) tweeters get a bad press, particularly on British forums.
At the risk of making blanket generalisations, British enthuisiasts tend to put domestic harmony above all else, and they tend not to use amplifiers that will drive nasty loads without running out of puff.
If you are lucky enough to be able to pull your speakers away from the walls without incurring the wrath of SWMBO, if you can acoustically treat your room and if you have an amplifier(s) with enough grunt, then, as if by magic, all notions of aggressive treble tend to dissapear.
I have been there myself. I bought the Electra 926's , connected them up, loved them, pushed them with one pair of JLH monoblocks and nearly took them back because of a percieved HF distortion. I thought the tweeters were damaged ! I chanced upon a second pair of JLH mono's, Bi amped them and had to go and apologise to the dealer. This is an 80 watt class A monoblock we are talking about here (conservatively rated), with a very stiff power supply that has no trouble driving passive ATC 100's to convincing levels.... No bass distortion. The issue made itself apparent in the treble.
I have been listening to that system for over a decade, until recently when I changed speakers (more JM Lab/Focal but Be tweeters) and different amps. The old system is fantastic. Only changed for... guess what - more HF detail....... And believe me, I hate aggressive treble and any kind of distortion.
More 'on topic' would be the case of an audiophile buddy of mine who's wife has damaged hearing. Paradoxically, this defect in her hearing makes her more sensitive to aggressive treble or poor recordings etc.
She heard the 926's (with the titanium inverted dome a la Wilson, Neat etc) and, in a lightly treated room, was very happy. I am reliably informed (and knowing her, I have no doubt) that she would have let it be known if it grated her ears !
So, by all means disconnect the tweeters. After all, you are the boss ! But alternatively, and if you have the means, and they are not entirely financial, experiment with other avenues. By which I mean room treatment, amplifiers with amps, and what is generally regarded as radical speaker positioning.