Ime a fair amount of radiation pattern control is required before time/intensity trading works well. I have never had it work well with conventional cone-n-dome speakers, nor with any speakers that have a wide-dispersion tweeter. I have had it work well with speakers that use a good waveguide, as well as with speakers that use a small, well-behaved wideband driver for the top end.
Eyeballing
@Thomas_A's avatar, it looks to me like his speakers use a small-diameter wideband driver for the top end, along with felt that is thick enough to actually be effective, and then his front baffle has nice large bevels along with a non-rectangular face which further reduces the already minimal edge diffraction effects. The increased directivity of the wideband drivers would further reduce the illumination of the cabinet edges. Imo his is a very thorough design.
And more to the point of this thread, the above mentioned characteristics all reduce undesirable cabinet edge diffraction effects, which tend to degrade the spatial quality and can keep speakers from "disappearing".
Ime with speakers which work well with time/intensity trading there is no degradation of sound quality when they are set up that way. Ime the primary tradeoff is a reduction in the apparent source width (soundstage width) relative to a more conventional setup geometry due to the significant reduction in strength of the early same-side-wall reflections.
With 45 degrees of toe-in and an equilateral triangle (speaker axes crossing in front of the listener), the central sweet spot is 15 degrees off-axis of each loudspeaker. With the same equilateral triangle and the speakers toed-in by a modest 15 degrees (speaker axes crossing behind the listener), the listener is at the same 15 degrees off-axis. So the change in direct-to-reverberant sound ratio from using a time/intensity trading setup geometry may not be as much as one would expect.
What DOES change significantly is, the time delay between the direct sound and the first strong lateral reflections, which now arrive from the OPPOSITE side wall. Imo this can have spatial quality benefits, which I can describe if you're interested.
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Since there seems to be controversy over the use of the term "disappearing" in this context, here is my usage of the term:
If you close your eyes and can easily hear the loudspeaker locations (using source material which is not hard-panned to one speaker of the other), then imo the speakers do not "disappear". If you close your eyes and the locations of the loudspeakers are not apparent, then imo the speakers do "disappear".