If you use a CPU-local data structure, you must handle the case where, mid-way through a call to your allocator, the CPU runs a second thread that makes another call to your allocator (and that, too, can get interrupted by another thread that allocates memory, etc.)
That makes thread-local easier to implement and likely faster (it doesn’t require any memory barriers in the fast path)
Also, good schedulers try to avoid moving threads between CPUs. The better they manage to do that, the lower the cost of having per thread data structures (there likely still is a price, as there most of the time are more threads than CPUs on a system)