Yes it does, look at the caption of Fig. 1: "Photons we receive that were emitted by objects beyond the Hubble sphere were initially receding from us (outward sloping lightcone at t <∼ 5 Gyr). Only when they passed from the region of superluminal recession vrec > c (gray crosshatching) to the region of subluminal recession (no shading) can the photons approach us".

I can’t reply to your last reply. I agree, in fact I said those regions can be still causally connected to us, not that they are.