In relation to the games, I believe that Satoshi's story corresponds to the events prior to GSC/HGSS, despite any events that actually may have happened in GSC/HGSS or DPP (Lake of Rage, etc).
I say this because (in any long TV series, animation or not) writers tend to create enough characters/events in the show earlier on so that if show were to end, they could end it with the current characters at hand.
With the way BW was setup, Satoshi could have easily had another adventure before Isshu, and I can see the writers utilizing this. From as far as I know, we don't know how long between DP191-BW001 Satoshi stayed at his home for.
In GSC, we see Red in Mt. Silver where he supposedly trains. Satoshi made a friend with a Larvitar back in Johto near Mt. Silver. One can easily assume Satoshi whenever this anime actually ends, we can see him going back to Mt. Silver to train.
In AG132, Kikuko says she's the temporary Gym Leader. Unless a future game allows Sakaki to take back his place as the leader, I can see Shigeru (being the anime counterpart of Blue/Green) being a leader there, later down the road.
We also know the events of Raikou special at least take place prior to DP, which we can make many more assumptions. In DP, many speculated a BF arc. The issue arises with Cattleya (Caitlin). There was a second time skip in the games between DPP/HGSS to BW. They could not allow her to appear twice and with an aged appearance when Satoshi is meant to remain 10 if he were meet her twice.
In DP, the writers excluded the TR executives who appear ingame (and still are with BW).