False alarm, my skin just rendered as the Steve skin.
Well, FVbico, on the Minecraft Wiki, it says, "A ghastly sound is played when the explosion occurs. This sound is not centered around the Wither, instead it can be heard equally from all areas of the map. It can also be heard by other players throughout dimensions."
Well, Kumasasa, one day when I went in the end and used the /execute command to summon primed TNT on the Ender Dragon, I was about 40-50 blocks (maybe?) from the Ender Dragon when he died, and I still heard the death sound as if I were right there. So I would assume all players hear the Ender Dragon dying similarly to how everyone hears the Wither spawning.
Yes Marcono, it still happens to me. I just got done trying other commands to target myself after dying and respawning such as "kill @p" and "execute @p ~ ~ ~ summon Creeper", and both claimed that "the entity UUID provided is in an invalid format." I also tried replacing @p with @a, and nothing happened to me.