I think unfortunately we sometimes ascribe to powers of two supernatural powers that are really about caches being built in powers of two.
Intel is still 64 byte cache lines as they have been for quite a long time but they also do some shenanigans on the bus where they try to fetch two lines when you ask for one. So there’s ostensibly some benefit of aligning data particularly on linear scans to 128 byte alignment for cold cache access.
It's not just Intel is it, AMD is also using 64 byte cache lines afaik.
But there's a reason that caches are always sized in powers of two as well, and that same reason is applicable to high-performance ring buffers: Division by powers of two is easy and easy is fast. It's reliably a single cycle, compared to division by arbitrary 32bit integers which can be 8-30 cycles depending on CPU.
Also, there's another benefit downstream of that one: Powers of two work as a schelling point for allocations. Picking powers of two for resizable vectors maximizes "good luck" when you malloc/realloc in most allocators, in part because e.g. a buddy allocator is probably also implemented using power-of-two allocations for the above reason, but also for the plain reason that other users of the same allocator are more likely to have requested power of two allocations. Spontaneous coordination is a benefit all its own. Almost supernatural! :)