Even if less performant, a variant of this CPU guaranteed 100% immune from spectre-like problems is highly desirable.
At least for now, the fastest ARM CPUs are not immune to Spectre, so the recent ARM cores have introduced a set of similar workarounds to the recent Intel and AMD CPUs, in order to serialize the execution and flush internal state around context changes.
Searching for "Speculative Processor Vulnerability" on the Arm developer site will find many resources describing possible attacks and the mitigations that must be implemented for various Arm cores.