I'm having audio issues as well. I just bought the new iPhone 11 Pro Max about a month ago and have recently updated it to the latest iOS 13.4.1.
All my music has been downloaded and/or synced to my iPhone. Most of my music is from iTunes/Music purchases, and some is ripped from CDs from a long time ago (which doesn't factor into the problem). So, I have to sync via USB or over WiFi from my iMac Retina 5K to get my entire library onto my phone.
When listening to music on the iPhone, every 7th or 8th song will cut out with about a minute left, and yet the song continues to play when I view the player interface on the lock screen or within the Music app. I compared the same song to my iMac's Music library and played it back -- it plays perfectly all the way through.
So this is an issue with the Music app on my iPhone. And as others have stated, I'm not willing to reset my phone to factory settings and lose an entire day of rebuilding it just to get the audio to play back correctly. I say that, and yet if it's the only solution then I'll probably have to sac up and do it. Ugh.
FYI my wife has the exact same problem on her new iPhone 11.
I feel like posting this in the community is a waste of time, but take comfort in knowing the problem exists for other users. I'm going to call apple support right now and see if a "Genius" can recommend something other than a factory reset.
Wish me luck.