The GO is sensitive and it is not made less sensitive by the paper underneath.
Fine inkjet prints whether matte or glossy should be treated similarly to fine photographs and fine prints.
Use only an archival slip sheet to protect the surface. Never expose inkjet prints on archival papers to plastic, rubber, masking tape, wood, gasses from paints, varnish and other chemicals. All of the major paper manufactures are warning against this.
The best practice is to store a print with an archival slip sheet in an archival polyethelene print storage bag. If you put the slip sheeted prints in an archival print storage box, they will not need polyethelene to protect them from outgassing of the box. But, if you store them in the box which the paper came in - you will need to store the prints in an archival sealed bag inside the box.
Avoid wooden flat files and freshly painted steel flat files. The paper manufacturers have also pointed these out as producing negative effects on prints.