Are YouTube API terms violated when watching a video in a third-party player?

Question

YouTube

Actually Terms of Service , but I did not find anything like it.
The Uppod player is used for display and the title of the video and links to the video and image are obtained through the YouTube API.
The code:

<script type="text/javascript">
  var page = 1;
  var maxResults = 3;	
  function drawVideos(data) {
    var feed = data.feed;
    var entries = feed.entry || [];					
    var links = feed.link || [];							
    for(var i=0; i<entries.length; i++) {						
      var html = '';
      html += '<h2 class="title">' + entries[i].title.$t + '</h2>';
      html += '<div class="video" id="videoplayer' + (i + 1) + '"></div>';
      html += '';			
      $("#videos").append(html);			
      var flashvars = {"comment":entries[i].title.$t,
"st":"video8-1586.txt",
"file":entries[i].media$group.media$content[0].url,
"poster":entries[i].media$group.media$thumbnail[0].url};
      var params = {wmode:"transparent", allowFullScreen:"true", allowScriptAccess:"always",id:"videoplayer" + (i + 1)}; 
      new swfobject.embedSWF("uppod.swf", "videoplayer" + (i + 1), "400", "300", "9.0.115.0", false, flashvars, params);
    }		
    for(var i=0; i<links.length; i++) {
      if (links[i].rel == "previous") {
        var html = '<a class="prev" href="#" onclick="showVideos(page - 1);return false">← предыдущая</a>';
        $("#prevnext").append(html);
      }
      if (links[i].rel == "next") {
        var html = '<a class="next" href="#"  onclick="showVideos(page + 1);return false">следующая →</a>';
        $("#prevnext").append(html);
      }
    }
  }						
  function showVideos(p) {
    page = p;
    $("#prevnext").empty();
    $("#videos").empty();
    $.getScript("http://gdata.youtube.com/feeds/users/<username>/uploads?alt=json-in-script&start-index=" + ((p - 1) * maxResults + 1) + "&max-results=" + maxResults + "&callback=drawVideos");	
  }				
  $(function() {
    showVideos(page);
  })
</script>

Answer 1

Your API Client will not, and You will not encourage or create functionality for Your users or other third parties to:
…
10. access any portion of any YouTube audiovisual content by any means other than use of a YouTube player or other video player expressly authorized by YouTube;

Answer 2

JW Player, for example, loads the youtube player and controls it completely through its interface. Example: www.longtailvideo.com/support/jw-player-setup-wizard?example=205