Off the top of my head, I think Ronnie played on Team Europe for the Mosconi Cup in the 90s twice, where he played fine, but Team Europe ultimately lost both years. I sort of hate the Mosconi Cup because it's a publicity-based shitshow that turns world-class players into bangers and reinforces every negative stereotype about the game. But take this match against Johnny Archer, for instance. Archer is a great player, but is way past his prime and arguably not even among the top 20 shots in the pool world right now. Still O'Sullivan flounders at crucial moments, and I would argue it's because he's used to playing snooker; and as I said, pool and snooker exist in entirely different spheres of strategy. Put Archer on a snooker table against O'Sullivan, however; it would be a fine bit of comedy, I'm sure.
Watched a bit of that darts match you linked. I'm intrigued by the strategy of 501. Is the most rudimentary approach to attempt to score 180 a couple of times and then gauge what to shoot for based on the opposing player's score? I feel like here has to be something more nuanced to it than that. I also don't know if there are certain areas of the dartboard that are more difficult to successfully hit than others, so that may play a factor.
