Is there any sense of how the Outlaw will handle these things?

Not yet.

I've looked up dolby volume and as another poster in this thread mentioned audyssey has a similar feature for low volume compensation to correct the soundfield. That being the case I would think the trinnov processing should be able to achieve the same functionality as the dolby volume. Outlaw should just have to turn on the feature. The real question in my mind is will the trinnov processing do this?

Trinnov got its start as a professional room correction system, so it may not have had a use for that sort of capability before now. And Audyssey added this in recent iterations, likely in large part because of Dolby Volume. From that perspective, I would be surprised if Trinnov already had code in place that would do this. Of course, I've been surprised before...