I did not hear about conflict between UM and URE yet. May be it’s the 1st time.
Did user whose role is changed logged in earlier? May be he was included already into approved users’s list with older role and now Authorizer replaces his new role with older (approved) one? Can you test absolutely new user with new role who did not login with Authorizer yet?
Is it possible to exclude user with changed role from Authorizer approved users list? May be you have to do this, in order such user get new role at the approved users list after the next login, but not the older one?