>The added benefit is that Chinese isn’t a dead language.
I wouldn't go that far. It's more like learning Greek and hearing many of the same root words, sounds, etymology, etc. in English.
An Italian speaker can listen to Latin and grok maybe 25%. A Japanese speaker can listen to Chinese and get maybe 2%, max.
Words like "library" use the same Chinese letters, and have very similar pronunciations, but that's about the extent.
I'd say the best way to learn would be Japanese, Korean, then Chinese (what I did).
Source: I speak Japanese, Korean, and Chinese.