Nieko,
The management vlan (mgmt) and the user vlans (default and any user-created vlans) reside in different virtual routers (VR-MGMT and VR-DEFAULT). There is no possible connection between these two VRs. So you can't get to the mgmt IP unless you are in the mgmt vlan.
As Robert told you, you can manage a switch through any vlan that has an IP address (unless you restrict it). You don't have to be in the same vlan, as long as you have a route to that IP address
Service Providers don´t like this because they don't want customers to be able to manage the switch, so they usually configure it to allow management only through the mgmt vlan/port.
Having a separate and isolated management network also allows you to manage the switch if the user vlans have communications problems (broadcast storms, loops in the network, etc). For this to work, the management network must be completely separated from the user network.
Nothing prevents you from having both types of access. NetSight connects to the switches through the mgmt vlan, and administrators open CLI sessions through the user vlans. This way NetSight keeps in touch with the switches, even if you can't access them because of network problems.