This Gamasutra featured tutorial covers how to publish a Phaser game to iOS without using the most common wrappers.
Harold Bowman wrote a comprehensive tutorial on publishing his game Word Fall to iOS, without using PhoneGap or Cordova. The tutorial was featured on Gamasutra and is an really interesting read:
"After publishing two games for iOS and experiencing the pain of being locked into that platform, I decided I would try a more cross-platform option the next time around. I also wanted to be able to do essentially all of the development on my iPad, so that ruled out options like Unity, but made web technologies a great choice. I opted for the Phaser Game Framework and successfully published Word Fall for Windows and macOS on itch.io.
The next step was to publish Word Fall to the iOS App Store where I hope to reach a wider audience for this fast-paced word game. I naively thought I would be able to add a WKWebView to my root ViewController, point it at my index.html file and click publish. I was wrong, oh so wrong."