There are numerous apps that change the emojis that you send from the keyboard to their own emoji set (whatsapp, messenger etc). So you will almost always face the problem of "emojis looking different in the keyboard than in the app".
Even if a keyboard shows you the system emojis, you'll never know how they will appear to the recipient. So there is no point in worrying too much about how an emoji looks on your side.
The latest update was done ahead of a change that will happen soon. Google will change the current emojis with Android Oreo, so you'll be seeing the same emojis you currently see on Fleksy.