Yes and no.
SSD's much like HDD's, while not having moving part has power loss protection, and only immediate data is lost. Power outage rarely kill hardware, power surge or brown out does. Also SSD's and computer hardware isn't directly connected to the wall socket. The Power supply is more likely to fail as a result of a power failure, and more likely the power supply it self will damage or kill hardware inside a computer, than a simple power failure. A shitty power supply, can also be a contributing factor.
It also depends on the size of the SSD, if you have a 128gig SSD no doubt you going to fill up and reuse cells in the SSD much more overall compared to a larger capacity SSD. I have a 128gig WD SSD that is now 4 years old + with 71% health that was pretty much used daily, along with photoshop I wasn't able to kill it. I now have a standard OS SDD and a dedicated scratch disk for photoshop and still only managed to drop it's health in 8 months by 2%.
It entirely depends how the SSD was used, if trim was active, did some thing stupid like trying to defrag an SSD, malware or viruses can significantly increase write cycles. But power outages killing an SSD, not likely. I think there is more to the story here. What SSD's did you buy, what size, brand and how was it used, ect.