Static final fields are non-modifiable via java.lang.reflect.Field::set.
In JDI, ObjectReference::setValue throws IllegalArgumentException if the given Field is static final field (see ReferenceTypeImpl::validateFieldSet)

Non-static final fields in a hidden class are non-modifiable via java.lang.reflect.Field::set.
ObjectReference::setValue should respect the spec of Field::set that ObjectReference::setValue can change the value of a given Field if it is modifiable.

It's unclear if the spec of ObjectReference::setValue should clarifiy the behavior regardless of the value of the accessible flag of the given Field.