I guess we'll see. Personally I expect nothing to change. I'll continue to use my TV for streaming, because there's no point in bothering to turn on a console when my TV already has Dolby Vision in the apps that support it--which basically means Netflix and Plex, since I haven't heard any rumors about Hulu or Prime Video adding DV. I vaguely recall reading that Disney+ has DV, but they use fake HDR in their shit so it doesn't matter, and fuck Disney anyway. As far as Plex goes, it's pointless to even try to use it on either console now, and there's about a 0% chance that will change next gen.
That just leaves DV-gaming, and I don't see how MS getting exclusivity helps me as a consumer at all. All it means is that IPs like God of War and Horizon: Zero Dawn will be stuck using HDR10 again, while MS basically squanders it on their sad little library of first party games.