In my experience, adding anti-diffraction frames to the Sony SS-CS5 improved the imaging of the speaker. Details here:
https://www.avsforum.com/threads/improving-the-sony-ss-cs5.3068362/
The frames change the on-axis and off-axis frequency response (and lower the baffle step frequency). I can't say that I see much difference in the measured impulse response, but perhaps a step response would have revealed something. There can't be different frequency domain behavior without also having different time domain behavior. I can't isolate on-axis changes (to the direct sound) from off-axis changes (to the reflected sound). I suspect the imaging improvements were associated with the on-axis changes, because that speaker is fairly well behaved off-axis even without the modification.
Still, even with diffraction mitigated, they don't disappear as well as my on-wall multi-way line-array speakers, which disappear better than any other speaker I've heard. The room reflections give us information about the location of the speaker in the room. My arrays do a good job of mitigating floor and ceiling reflections, and the placement of them on the wall (which they were specifically designed for, with a wide, shallow, wedge shape) effectively eliminates a delayed front-wall reflection. The result is music with no apparent attachment or association with the speakers.
In my experience, stereo sound reproduction helps speakers disappear. It's much harder for one speaker played by itself to disappear in a room. The result can be an inconsistent: sounds toward the middle of the soundstage are perceived as separated from the speakers, but sounds panned significantly to one side or the other are perceived as coming from the speaker. This is an area where my on-wall line arrays have significantly more consistency than other speakers.