Yes, I examined the issue. It works as expected on Safari iOS 16.4. It's complaing about JS syntax errors on Safari iOS 15.4 thus the viewer is not rendered. The error in the console is below, to be specific:
SyntaxError: Unexpected token '{'
This is due to underlying PDF.js library's requirement of iOS 16.4, i.e pdfjs-dist builds for latest versions (v4.x) has JS compiled for "Safari >= 16.4" which means it needs JS syntax and features supported after that version.
When I recompiled pdfjs for "Safari >= 15.4", it works (no JS errors) but this time our CSS theme is not properly supported (viewer looks glitched).
So it's hard to support iOS 15.x (it's from 2021, 4 years old) so I am not sure if it's worth the hassle to support.