How can I run Unity3D WebGL player with absolute paths to assets?

We're working on a furniture 3D-model player made with Unity3D. After NPAPI support had been discontinued by Chrome and Unity3D Plugin had stopped working, we've started to move the player to the WebGL technology. Both player and furniture viewer work fine thoriugh Unity Editor.

But for furniture player library it's required to use absolute paths to files came from Unity build (example, before - WebPlayer.unity3d, after - WebGLPlayer.js, WebGLPlayer.data, WebGLPlayer.html.mem, etc.). After I've got all the files loaded, this error begun to appear. It's stack trace goes deep to the asm.js, which is unaccessable to read and debug.

Error description:

    exception thrown: TypeError: Cannot read property 'addEventListener' of undefined,TypeError: Cannot read property 'addEventListener' of undefined
     at Object.JSEvents.registerOrRemoveHandler (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:1:115907)
     at Object.JSEvents.registerMouseEventCallback (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:1:119681)
     at _emscripten_set_mousedown_callback (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:1:191086)
     at BCc (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:18:614839)
     at Object.eCc [as _main] (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:18:609112)
     at Object.callMain (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:31:49538)
     at doRun (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:31:50368)
     at run (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:31:50536)
     at runCaller (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:31:48822)
     at Object.removeRunDependency (http://host/player/WebGL/Release/WebGLPlayer.path_fixed.js:1:28378)

WebGLPlayer.path_fixed.js is a WebGLPlayer.js copy with paths to WebGLPlayer.data and WebGLPlayer.html.mem files fixed.

Is there any way to fix this? Is it possible to make custom WebGLPlayer.js build to avoid this errors?