...Do you know if it also runs on DC and would not cause damage?
No I do not know that; as you imply that was indeed my interpretation of the question.
I do know that there have been discussions of both Lionel and MTH accessories where the manual only shows the standard AC hookup...but upon closer examination it turns out that the accessory also operates with DC.
I do know that modern accessories most likely have internal DC components...such a LEDs for lights, DC motors for motion, and DC electronics for sounds.
I do know that modern low-voltage transformers for accessories are far more economical and compact if they are DC output vs. AC output.
I do know from reading OGR that more and more layouts have low-voltage DC for accessories...particularly for LED lighting.
I can only speculate why manufacturers choose to only show AC operation even if they would operate with DC.