We are seeing issues with UTM and Lambert on AGOL maps when data is stored as a feature service in AGOL. We believe it started late last week or over the weekend. I have a ticket open with ESRI and they said there are issues with projections. funny thing is the map will work perfectly for a few minutes then stop working for a bit.
example
http://iowadot.maps.arcgis.com/apps/SocialMedia/index.html?appid=a60ece732a144b33b9b7655d678d5d8b
