That’s a pretty good vid.
YouTube video: Infinite chess

That's an interesting video. Notice that she says "we are playing with rules that excludes ties" (at appx 1:00). Our game can have draws (by repetition, or stalemate for example). But we don't have draws by the 50-move rule. I'm not sure how it affects the math.
I hope nobody gets mad that I posted this video, but it's an interesting one about chess on an infinite board (without the extra pieces).
Edit: vickalan already posted this video 2 years ago, sorry for double posting. I'll leave this thread here for the comments.