Actually not so false anymore. (But still they don't expect you to use this knowledge while coding, and you should treat all threads in a warp as moving in lockstep)

> In GPUs of compute capability 7.0 and later, independent thread scheduling allows full concurrency between threads, regardless of warp. With independent thread scheduling, the GPU maintains execution state per thread, including a program counter and call stack... [1]

1: https://docs.nvidia.com/cuda/cuda-programming-guide/03-advan...