apple music limit on streaming music i own?

So, I've been a subscriber to iTunes Match for a few years.

My son and daughter, both have their own Apple ID's, but for the iTunes Store they use my account. This allows us all to have one iTunes music library, and anybody can stream any song in my iTunes Cloud Library at any time, and even simultaneously. We didn't have to mess around with creating a Family Sharing account.

I've been thinking about subscribing to Apple Music. Apple Music essentially includes iTunes Match, so I should be able to cancel iTunes Match if I sign up for AM.

My question is, do I HAVE to sign up for the Family Plan to be able to have us all listen to music I own at the same time? Or could I just sign up for the individual plan, and make sure to tell my kids they can only stream music in our library, not tracks that we don't own that are part of the AM library?

In other words, does AM's iTunes Match function the same as the regular iTunes Match, where I can stream any song I own, to any device, at any time, even simultaneously? Or does AM restrict even music I previously owned, to one iPhone at a time?

Thanks!