No player names
Neither yours nor your opponent's: only their class.
Ignidra The application
Your deck and your session on screen, served by Ignidra itself. No extension, no account, no online service.
Deck column: like the in-game panel, bigger for video. A glow runs across a card's row when you draw it.
Session bar: your win–loss record and streak, for the top or bottom of your scene. In Battlegrounds: hero, place, tavern and Health.

vs Warlock · Turn 3
In Ignidra: Settings → Streamer mode. Ignidra shows the page address (on your PC only, 127.0.0.1).
In OBS: Sources → + → Browser. Paste the address copied from Ignidra.
For the deck, about 420 pixels wide and your scene's height. For the bar, your scene's width and about 80 pixels high.
Add &layout=bar to the address for the bar, &theme=givre for another theme, &scale=1.2 to enlarge, &solid for an opaque background.
Neither yours nor your opponent's: only their class.
In Battlegrounds, the page waits until the game shows a combat's outcome.
The page follows Ignidra's language, among the game's 14.
The page is only served on your PC and refuses any other address.