One cold source, two compartments
Many Viking built-ins cool the fresh-food compartment with air routed from the freezer side through a damper, rather than giving each compartment its own evaporator. That single design fact reorders the whole diagnosis. A refrigerator sitting warm while the freezer holds is, on this architecture, most often a damper that is not opening, an air duct blocked with frost, or the fan that moves that air — not a failed sealed system and not two independent faults.
The corollary matters too. If the freezer is also struggling, the problem is upstream of the split and the checks move to defrost and then to the sealed system. Establishing which compartment is genuinely failing, at the shelf rather than at the display, is therefore the first measurement rather than a formality.