In order to to see the same product alerts as the Seller Central account owner in SAS for an ASIN, other SAS users will require certain permissions on their SC account, which need to be set by the SC account owner.
In the main Seller Central account go to Settings -> User Permissions
From the list of Current Users click Manage Permissions (If the user is not a Current User, just add them via Add New User)
In the User Permissions table go to the Inventory section and Manage Inventory/Add a Product. Give View & Edit permission.
In the Settings section, in Mange Your Cases, give them View & Edit permission.
Click Continue at the bottom of the screen to click Continue to save the settings.

Once done, refresh the listing and you'll be able to see all alerts in SAS: