For me, soundstage is a product of various factors including direct and indirect radiation. (Not sure if this is the right translation). With the distance to the back wall, indirect radiation changes timing-wise as well…
It does, yes. Let us try to analyse the timing effect for two placement variants: the
front-face of the speaker in case a) is 40cm from the wall, and in case b) is 90cm from the wall. Note that in both cases the speaker back side is much closer to the well (how much so depends on cabinet depth).
With the speed of sound being 343m/s, the timing difference between direct sound and the early frontwall reflection in case a) is around 2.5ms and in case b) it is about 5.2ms.
EDIT: I forgot initially that that the reflection needs to travel the extra distance to the wall
and back - so the timings are now doubled.
If we look at Haas precedence effect research, and consider only the timing aspect, then both cases actually fall in the "localization dominance" scenario, which suggests that the direct sound will be dominant for localization and that the apparent source should stay aligned with the speaker.
However, with this we're forgetting that front-firing box speakers in general radiate much less energy to the back at higher frequencies; here's an example illustrating this for two different speakers (blue are on-axis direct responses, and green are frontwall early reflections - you can see that by 1kHz the level difference is already about 10dB, and more so beyond that):
The significant difference in energy from the direct sound and the frontwall early reflection would also favour the direct sound for localization, especially given that the timing difference is so low (again based on precedence effect research by Haas). This again pushes the apparent source to the speaker.
But I do admit it is an interesting topic, and I'd definitely be interested to see some formal research into it. So far I don't see compelling evidence that this approach provides tangible benefits across different environments.
On the other hand, even this small difference in placement between cases a) and b) will have a very significant influence on on-room bass response: the SBIR notch in case a) would end up at 215Hz and in case b) it would end up at 95Hz (while being wider and deeper due to no level difference between direct sound and reflection at such a low frequency).