function loadTile( tiledImage, tile, time ) {
    tile.loading = true;
    tiledImage._imageLoader.addJob({
        src: tile.url,
        loadWithAjax: tile.loadWithAjax,
        ajaxHeaders: tiledImage.ajaxHeaders, // Changed from tile.ajaxHeaders
        crossOriginPolicy: tiledImage.crossOriginPolicy,
        ajaxWithCredentials: tiledImage.ajaxWithCredentials,
        callback: function( image, errorMsg, tileRequest ){
            onTileLoad( tiledImage, tile, time, image, errorMsg, tileRequest );
        },
        abort: function() {
            tile.loading = false;
        }
    });
}

// Existing code:
if (this.ajaxHeaders) {
    this.cacheKey = this.url + "+" + JSON.stringify(this.ajaxHeaders);
} else {
    this.cacheKey = this.url;
}
// Don't consider ajax headers as part of cache keys at all.
// With this small change, caching, viewing and updating did work just fine:
this.cacheKey = this.url;