@Constance @Soupie
The first thing that I note is that Velmans' argument seems to be focused on critiquing the naive realist stance (to strengthen his critical realist stance)—easy prey as far as I am concerned. From this criticism he points out that from Lehar's perspective, if the phenomenal world is inside the brain, the real skull must be outside the phenomenal world. p.23 Velmans agrees that "the location and extension of the phenomenal and real skull and brain closely correspond."
"physical bodies can have real extension and location in space." p.24 But for Velmans phenomenal space is located in real space (not in the brain).
For Velmans there are two aspects to reality, one phenomenal (which is observer-dependent p.26) the other real (which is observer-independent p.26); they bear close correspondence. Note, "Reflexive Monism is a dual-aspect theory." p.29
Velmans seems, tentatively, to hold the view “that what is evidently one reality should be in two places at once,
both in outer space and in a person’s mind.”
"the phenomenal cat is in fact a psychological . . . representation" "of something that exists out there in the world" p.30
"According to the reflexive model, phenomenal space provides a natural representation . . . of the distance and location of objects viewed from the perspective of the embodied observer. . ." p.25 [This is a problem for me, namely, the notion of an 'embodied observer' witnessing the phenomenal world—Refer to Voerman's criticism p.28]
Velmans dual aspect stance is further indicated: "even our understanding of 'real' [I interpret Velmans 'real' as, 'our understanding of objective reality' i.e., the world that is not phenomenal]. . . is underpinned by our experience of phenomenal location." p.26
Thus for Velmans,
the phenomenal world is projected onto objects. p.26 In a way, the objective world is assigned a phenomenal value by the 'embodied observer' that witnesses only the phenomenal world (my interpretation).
Phenomenal objects do not have an observer-independent existence out there in the world (p.28: paraphrased); for phenomenal objects to exist, they must have the 'embodied observer' to witness them: However, "experiences are … roughly where they seem to be." [i.e. they are "not nowhere" (dualism) or "in the brain" (reductionists).] p.9 "the phenomenal cat . . . is out in the phenomenal world"
How can a monist make sense of the embodied observer?
Reflexive Monism assumes that each phenomenal feature of the cat has a distinct neural correlate that encodes the same information . . . From the perspective of an external observer, this correlate will appear as a form of neural encoding . . while from the subject’s perspective the same information . . . appears in the form of the phenomenal cat (in phenomenal space)." [Again "the subject's perspective" = "the embodied observer"] Nevertheless, the phenomenal cat is not in the brain. Yes, it requires neural encoding (ensuring observer-dependence) but the phenomenal cat is still out there (not in the brain).
"a phenomenal cat . . . [is] a visual representation containing information about the shape, size, location, colour and texture of an entity that currently exists out in the world beyond your body surface."
@Soupie Good luck if you want to interpret Velmans' stance. Personally, I don't think it is worth the effort.