Unfortunately, I’m very unfamiliar with debates on these extremely complicated issues in the philosophy of time—so that for instance it wasn’t clear which was exactly the content of the invoked intuition, nor thus what would qualify as vindicating it, and in particular why it didn’t work the proposal that it consisted in the present time exemplifying the irreducible property of being present. In any case, I worried how Sven proposal in terms of the present times occupying the object NOW ultimately differed from the considered proposal. In discussion, some other people seemed to share this concern. (If I don’t misremember, Sven suggested that his could work without the metaphor of “occupying” that object, by invoking relations of variable temporal distance to an object (which is therefore not a time). But as it issued in discussion with Sebas, it’s not clear that the latter notion is more illuminating than the former.)
On reflection, I also share Manolo M’s other concern: there seems to be as much reason to posit NOW as to posit also TOMORROW, TWO DAYS AGO, and so on. Thus, at each moment, every time occupies one of these “transcendental” positions. The original worry would then reappear: in which sense is NOW special?