However, this still confuses me, what is the exact wording that makes you think that shifter doesn't trigger?
Well, there is nothing to trigger at all, as there are no triggered abilities.
It does have a replacement effect that occurs as part of the event that puts it into play.
The Shapeshifter's ability does not get any text from the Dreadnought until after the Shapeshifter actually comes into play, which is long after the time to apply the Dreadnought's repalcement effect.