Its supposed to be true in every base. But of course in Binary its not true. Every prime in Binary ends in a 1; its followed by another prime that ends in a 1.
You can just increase the length of the suffix since that is equivalent to talking about the last digit in a power-of-two base. E.g. if the prime ends in 11 in binary then the following prime is less likely to end in 11, since this is equivalent to saying that a prime ending in 3 in quaternary is less likely to be followed by another prime ending in 3.
It is still useful to say "prime numbers don't end in 0, 2, 4, 5, or 8" just as it is useful to say "consecutive prime numbers in any base are less likely to be followed by a number with the same least-significant digit". There are special cases at the bottom for both statements.