I just did one quickly in free space, and the direct waves clearly show a better soundstage for toe-in. The speaker is an in-wall one (Aurea In-Wall 6+6), not made for being toed-in. The colors are: reddish - antinode, blue-ish - node, green - nominal gain. The greener the picture's tint, the better.
Simulation based on recordings in the room, parallel speakers on the left, toed-in speakers on the right:
View attachment 52745
The right image is way greener, this means the sound is much more uniform than without being toed-in. The corners are excluded from the simulation, only the +/-90 degrees from axis are processed, thus toe-in removes those parts from being simulated.
For correct time alignment, here's the same after Dirac Live:
View attachment 52746View attachment 52747
Results are exactly the same, but perfectly symmetrical.
I also did, but the changes in balance were great, even in well-treated rooms. When the speakers were toed-in, the virtual center moved along with me. This happens when the angle is set so the gains on the line you walk perfectly mimic a fade - this is actually a THX studio requirement.