I've had this happen a few times on my monk. Happens all the time in full burn. I've pulled aggro from the Father in DSK after he's fully healed himself and I went into full burn.
A lot of fights I couldn't use my donator BP because of it, I had to look into a few clicky memblur items and constantly FD if it was gonna be a long fight. With a rogue you could do sneak/hide to drop some aggro.