As my colleague explained, this permission is requested only if you have the "Protect USB storage/Protect SD card"
option enabled under Developer options.
Apps that are build and deployed on Android via Icenium are signed with dummy certificate and are installed on the SD card - thus the requested permission. Should you sign your Android app with valid certificate and use the Publish option (or change the Build Settings to Release), the app would not be installed on the SD card and would not require this permission (unless the app explicitly uses the SD card for some of its operations).
You've missed the Icenium Visual Studio Integration keynote? It has been recorded and posted here.
Looking for tips & tricks directly from the Icenium team? Check out our blog!
Share feedback and vote for features on our Feedback Portal.