No, because the case would not be about the trust itself. The integrity of the structure of the trust and the type of law that it is based on is irrelevant to the courts, and therefore unquestionable. That is one of the reasons these trusts have never been penetrated or invalidated, and in fact cannot be invalidated.
Rather, what would be brought in a case to the court would be either claims against specific assets in the trust or claims against specific actions by the trust officers. In all such cases, the type of law on which the trust is based is not something that need be ever mentioned in the case. It is irrelevant. The type of law on which the trust is based is of no concern.
The trust itself is never subject to the jurisdiction of any court or any government. That is why it is referred to as “sovereign”. However, the actions of its officers can most certainly be brought under whatever local jurisdiction they may be involved with, or whatever jurisdiction a claimant may be in. Nevertheless, even so, a trustee is never personally liable for any claims against the trust.