That would be part of the equation, the other being the detector is being installed in a manner not intended or evaluated by the manufacturer. The unit is really only supposed to be used to trigger an aux device, such as a strobe or bedthumper in an application where a normal audible device is not sufficient.
It may work, however I would not feel comfortable myself going against what the device was tested and evaluated, especially in the case of a life safety device/system.
The best option, though it would cost more, and I've yet to see any AHJ fail an installation, would be to takeover the existing 120V wiring and repurpose it for LV use and detectors. In the overall scheme of things, the price of PE alarm detectors is really insignificant for 9/10 installs.