Yeah I agree, seeing concepts shared between series and characters is why I love reading dc. I think I would be annoyed if the space police that is the Green Lantern Corps just flat out ignored the growing cosmic government, it would feel disjointed.
Also I would just like to from what I have seen that I actually really like John, Simon, Keli, and Jo and am glad that they are being included in this new ongoing and I can't wait to see how they are expanded on from their past series.