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Still works, with a slight variation: instead of taking two measurements, you can take four successive measurements [A,B,C,D] over equal periods of time, and then do the aforementioned procedure with the values A+D and B+C as input.

If the activity is decreasing at a linear rate, then A+D and B+C should have exactly the same distribution. In reality, they will be ever so slightly different because the decay is exponential rather than linear, but over short periods of time (compared to the half-life) the linear approximation is extremely good.

https://en.wikipedia.org/wiki/Thue%E2%80%93Morse_sequence#Eq...

Coin flips aren't fair either, because gravity will change slightly between successive flips.

OK, but if you toss the coin higher, relativistic time effects come into play.

And if you're flipping near the Earth's surface, there will be aerodynamic effects as well. Which is more streamlined: The Queen's side or the Platypus' side?

That's a good point. The effect is small but nonzero.