The recent generations of IBM POWER CPUs have not been designed for good single-thread performance but only for excellent multi-threaded performance.
So I believe that an ARM CPU from a flagship smartphone should be much faster in single thread that any existing IBM POWER CPU.
On the other hand, I do not know if there exists any ARM-based server CPU that can match the multi-threaded performance of the latest IBM POWER CPUs.
At least for some workloads the performance of the ARM-based CPUs must be much lower, as the IBM CPUs have huge cache memories and very fast memory and I/O interfaces.
The ARM-based server CPUs should win in performance per watt (due to using recent TSMC processes vs. older Samsung processes) and in performance per dollar, but not in absolute performance.
And the single thread side isn't that good either, but SMT8 is a quite nice software licensing trick
But I could be wrong… I’m going from a historical perspective. I haven’t checked PPC benchmarks in quite a while.
Motorola made CPUs with this ISA. Apple used CPUs with this ISA, some made by IBM and some made by Motorola.
While Motorola and Apple used the name "PowerPC", IBM continued to use the original name "POWER" for its server and workstation CPUs. Later IBM sold its division that made CPUs for embedded applications and for PCs, retaining only the server/workstation CPUs.
However, nowadays, even if the official IBM name is "POWER", calling it "PowerPC" is not a serious mistake, because all the "PowerPC" ISA changes have been incorporated many years ago into the POWER ISA.
So the current POWER ISA is an evolution of the PowerPC ISA, which was an evolution of the original 1990 POWER ISA.
It is better to call it POWER, as saying "PowerPC" may imply a reference to an older version of the ISA, instead of referring to the current version, but the 2 names are the same thing. PowerPC was an attempt of rebranding, but then they returned to the original name.