I'm not so experienced to be sure of anything, hun. My understand is that EMWs can be reinforced by the first nap of the day being too early -- basically, they see it as a continuation of night sleep. I wouldn't think that would count with an A of 3 hours+
IMO, 3 hours is already on the higher side for a 5 mo, and if you are getting long naps and he is settling independently, then your timings are fine. Would you like to post your routine?
ETA
Just saw your post:) Glad you had a good night but bleh for EW. When he WU, he played for an hour without needing you? What is normal WU? Let's have a look at your routine..maybe there is a clue in there