My video got matched for third-party content, I don’t plan on monetizing the videos… Could these videos still get taken down due to the music? (given I have acknowledged and will not monetize the videos?)
Yes. You have to turn off the in-game music and put in an royalty-free music. The music still is copyrighted even if you are not monetizing it.
Get some music from sites like Incompetech! <— Click that link
Good luck. 
Thanks!
Don’t mention it. 
Happy to help!