IF you don't know what iTune Match is, then you need not worry about that being a conflict. If you want to know more, read this.
https://www.apple.com/itunes/itunes-match/
If you don't have music on the iPad, but you are able to play it, then you must be using Home Sharing. Home sharing allows you to connect to your iTunes library from your iPad over Wifi and you can play songs, movies TV shows, etc from iTunes on your Mac.
Use Home Sharing to share iTunes content with other devices on your home network - Apple Support
I'm still a little confused....
I was just wondering how that works. What is iTunes Match?
Wondering about how what works? Apple Music? If so, it is a streaming music service like Pandora radio. That's the short and to the point answer. Log onto Apple's home page and you can read all about Apple Music.
IF you are asking about something else, I still need more details. I'm sorry.