In two words: oh no.
The “New Music” feature at the bottom of the “For You” tab on Music has rarely been useful to me. Most of the new music is from artists I happen to have listened to once. I think artists even abuse the feature. There are often re-releases of albums and remixed singles there, instead of actual new music. (For a while, Foo Fighters was constantly on the forefront of the list because they kept re-releasing different collections of tracks as singles. They literally just gave the singles numerical titles.) Meanwhile there’ve been more than a few cases where an artist I love has released something new and it doesn’t show up, leading to me finding out months later.
In lieu of an effective New Music feature on Apple Music proper, I’ve been delighted by MusicHarbor. MusicHarbor provides a stellar “new music” experience—and it does a great job of finding nearby concerts, too.