Comment by tripletao

This is correct, but for the author's example of randomizing turkeys I wouldn't bother. A modern CSPRNG is fast enough that it's usually easier just to generate lots of excess randomness (so that the remainder is nonzero but tiny compared to the quotient and thus negligible) than to reject for exactly zero remainder.

For example, the turkeys could be randomized by generating 256 bits of randomness per turkey, then sorting by that and taking the first half of the list. By a counting argument this must be biased (since the number of assignments isn't usually a power of two), but the bias is negligible.

The rejection methods may be faster, and thus beneficial in something like a Monte Carlo simulation that executes many times. Rejection methods are also often the simplest way to get distributions other than uniform. The additional complexity doesn't seem worthwhile to me otherwise though, more effort and risk of a coding mistake for no meaningful gain.