Sprinto can't see your server list: Authorize wasn't chosen on Discord's screen. To try again, press "Let Sprinto see my server list".
Rooms lists channels in this server and channels you've used Sprinto in.
If you let Sprinto see your server list, Rooms also lists channels in your other servers. A channel is listed if you can see it and it has a sprint running now or had one in the last 30 days.
Only Sprinto sees your server list. Sprinto saves only the IDs of your servers that also have Sprinto, and updates them each time you open the Focus Lounge.