Can malware get on a livedvd?

I have an infected computer where many personal files and usb flash drives were corrupted.

I bought a livedvd for Debian9 and put it into my infected computer many times.
Is there any risk of putting it into a new computer? I've been told there is zero chance it can infect the new computer b/c the disk is READ-ONLY (unless the people who made the livedvd put malware on it).

I've heard the same thing is true for store bought 'music dvds' and 'movies'.

thanks