Should I add my name to a noise complaint when I haven't heard the noise myself?

My neighbour sent me a draft email to the building manager: “The late-night music is keeping the whole floor awake.”

She had put my name underneath it.

I haven't heard the music. My bedroom is on the other side of the building, and I sleep with the door closed. She has sent me messages at midnight saying it has started again. I believe she is upset and tired; I can't independently describe what she heard.

When I asked to remove my name, she said, “You're saying you don't believe me.” That isn't what I mean. I would support the manager looking into her report, and I can say she has told me about repeated interruptions. I can't say they kept me awake.

She thinks an email from one flat will be easier to dismiss. I understand why she wants company. I'm hesitating because the draft turns my support for her into an account of an experience I didn't have.

Can I offer a separate sentence supporting an investigation while declining to sign this version? I'd like to help her be heard without making the group email less accurate.