So, most agencies don't differentiate. The only time AEMT will do anything for you, at least to my knowledge, is possibly on the East side (Yakima or Spokane regions) with AMR or in the rural parts of some Counties on the East/West side (like Lewis County for example) with volunteer fire departments. I've never encountered an agency with a listing for that specific cert. I may have possibly seen some with it as one of those bonus preference bullets. You're not going to find work specifically as an AEMT in Snohomish, King, Pierce, or Thurston County.
Where there is a population of about 10,000 or more, there are more than likely paramedics running dual medic or running EMT(B sometimes I) and Medic. I'm not even sure if "I" gets you more bucks.