It shouldn't grab you. As I always tell friends ,if you are over 35 and some teen artist is viscerally speaking to your inner soul with their music , its YOU that have the problem.
It's possible to enjoy music without connecting with the lyrics. All of the music I listened to growing up was about heroin addiction. Think I was able to relate to that? No. Was I still able to enjoy the music? Yes.
I personally think the people with problems are the people who berate others for their music preferences.