World of Warcraft is still being milked till it dries up (and I'm saying that as someone clocking 560+ days in game). Diablo has been abandonned (see the announcement of a mobile Diablo game last year¹, and its reception by the player base). So has StarCraft. Overwatch is stagnant (no new hero for a year) and Overwatch 2 is probably in development hell (pure speculation on my part I'll admit). Heroes of the Storm is also pretty stagnant (the game went from a hero every month to only two last year, nothing in 2021 so far).
In the meantime, there has been a very heavy push for e-sports with Overwatch and Heroes of the Storm (though I have not followed any of those). These efforts seem, to me, extremely centred on American audience, unlike League of Legends which has multiple leagues around the world. I'm sure a ton of money has been poured into this venture, but I'm unsure it has improved the games...
Anyway, the last time I launched Battle.net was for Destiny 2... and it has migrated to Steam in the middle of 2019!
¹Wow OK, that was in 2018 o_O Time flies, especially with a global pandemic, it seems...