That is a good question. They did have a Twitch channel..... but not sure if they have a channel on Discord.
I know there are several creative groups on there, where members use Adobe products.
On Facebook, I can say there are several Adobe groups! Even Behance groups! In fact, there is an Adobe Max group.
They should consider Discord, but most likely they would have to find someone to dedicate to it. Not all people in Marketing are familiar with Twitch, Mixer and Discord. I am because I am gamer and work in Marketing/PR... as well as do graphics! So for me it makes sense to be on there with a channel. Maybe if others ask for it they would do it.
Yes, they have at least one German language channel that accompanies the "Adobe Live auf Deutsch" streams. Info can be found here: https://blogs.adobe.com/creative/creative-2020_01_adobe-live-januar/
Then there are the Creative challenges which are also accompanid by Discord channels. Here is an example: https://www.behance.net/challenge/photoshop They do this for all the products in turn.