Cheng - Morris, as just published on Kerry's blog (assuming moves as given are correct), is a rather advanced and difficult example:
Black's ...Bxd7 is at least risky because it gives white the option of exchanging into the pawn ending, and while the outcome if this occurs immediately should be a draw, the annoying point for black is that neither rook nor bishop can move after the capture, allowing white to improve his king position and then exchange into the pawn ending if he can reach a won position to do so in. Even more annoying, the natural attempt to lift the pin, ...Kc7, runs into Nd5+ and black loses material (at least the g-pawn).
So the option for black that does not raise immediate pawn-ending problems is 1...Bxa2. That's far from simple in its own right but the idea is that if white goes for a7, black will play for K-d6-e7 and Be6 and he is fine.
After 2.Kf2 an idea for black is to try to lift the threat on the g-pawn by playing 2...g5. Now black is threatening to free his bishop with ...Kc7 so if 3.Ke3 Kc7 we get this after the swap-off:
...which is probably a draw but some lines are still complicated. To be very confident this was OK you would probably need to have this position in mind and be thinking about it for 10 minutes or so when analysing ...Bxd7.
I believe Black's choice of 2...f4 loses to either 3.h4 as played or 3.Ke2 but the Ke2 g5 line with immediate exchange is tricky. For instance, white might have to anticipate this position:
Now the subtle Kd4 Kd6, Kc4! Kc6, h4 appears to be the winning idea.
It happens that in the actual game black escaped unscathed because white miscalculated and took a draw in a position where the outcome of a pawn race is a queen ending that white should win. Presumably the clock was a factor on one side or the other in all this.
So maybe no care is needed in exchanging into pure pawn endings because nobody knows how to play them anyway.
