Aren't ARM processors are vulnerable to some of the same security flaws? What are the alternatives? AMD got lucky in a sense but the reality is you can't be on any one horse.
Also, I don't believe the single ARM CPU that's vulnerable to meltdown (Cortex-A75) has actually been included in any devices at this point, so for now it is safe to assume any ARM-based device you have is not vulnerable to meltdown.