Regarding Kühbeck, Back and Krottenthaler (2006) review paper linked earlier, and some of the papers that are reviewed in that paper, this seems to concentrate on a degree of lauter turbidity as quite distinct from brewing with hot break.
Also the above review appeared in a 2006 issue of the journal of the institute of brewing. In effect it was a literature review before the author's own study that appeared directly after.
http://www.endoc.net/PDF2/0424.pdf
To put all of this in context in a paraphrase. There is no literature on brewing on hot break, all of these studies remove it. The authors state that lauter turbidity helps fermentation, which should be obvious by now, but the total compounds involved in the process are fairly low because they're removing the hot trub.
What can we take from this? Well, this study shows much benefit in turbid wort, assuming something gets into the beer which doesn't get removed in the hot break. That seems to be the same benefits discussed in this round of experiments on the podcast and so on. The literature has strengthened my intuition that it would not be necessary to stick all the hot break in to get the same benefits. The above study showed that a turbid lauter but removing the break resulted in low levels of staling and oxidation. It was there, but it was low.
I think this suggests that it's helpful to suck up *some* break. I'd be worried that long term staling is still a risk if you chucked the lot in.
(I tapped up something like this earlier and then thought it was too nerdy to post and cancelled... but since we've taken this turn...)