Here is the response from the public API for the video statistics of the SOTU stream. Notice dislikes are not included, because I do not have the whitehouse's youtube API key (and neither does the developer of whatever dislike plugin you are using).

{
  "kind": "youtube#videoListResponse",
  "etag": "bD4HRPqKOHbn8jda5hhyAB1LIeI",
  "items": [
    {
      "kind": "youtube#video",
      "etag": "pEmR8bFF5phltHcZAzdqU05pRiI",
      "id": "mVIXLQrC9rE",
      "statistics": {
        "viewCount": "212548",
        "likeCount": "18580",
        "favoriteCount": "0"
      }
    }
  ],
  "pageInfo": {
    "totalResults": 1,
    "resultsPerPage": 1
  }
}

Again, the way the plugins work is they use cached dislike numbers from before the update, and can track new dislikes from users of the plugin. These plugins have no way, without getting a key from the content owner or hacking one, to get the real dislike count from YouTube any longer.

It will show you dislikes of videos that were cached before the numbers were pulled. For new videos, it cannot get the actual dislike count unless it has the API key from the content owner.