.. slowly stooping to clutching at straws, maybe.
At 0214Z the last ACARS message received was "CABIN VERTICAL SPEED". Can someone advise if this would necessarily mean a rapid descent or if it were possible that the static ports were also icing over (and due to simple physics when the "hole" is smaller the same amount of air moves faster through it and causes a reading of higher pressure (and as a consequence a lower altitude).
Static pressure sensing is not about movement of air through ports, its about transmission of pressure signals through them, involving minimal or zero flow
In fact pitot (dynamic head) reading also involves pressur sensing but no significant flow