You are correct. JWs do not teach that he died on a cross. They believe it to be an upright stake, with hands above him and feet at the bottom. Here’s a great resource for things about JWs, and for this issue specifically:
http://www.jwfacts.com/watchtower/cross-or-stake.php
As to JW funerals, you will often notice that it is just a generic sales pitch for the religion. You will hear very little about the deceased other than that they did this or that in the JW religion, had x amount of sons or daughters or a wife or whatever. It is about pitching the religion to any in attendance because they know that many there aren’t JWs and that death makes people vulnerable and search for answers. They have a script for the entire process. They don’t care to make it about that person’s life or whatever, it’s all about the JWs.