If the final action of the organization denies the right of the claimant to participate at all in the fund on the ground that the injury was self-inflicted, or on the ground that the accident did not arise in the course of employment, or upon any other ground going to the basis of the claim, or if the organization allows the claimant to participate in the fund to a lesser degree than that claimed by the claimant, if such allowance is less than the maximum allowance provided by this title, the claimant may appeal to the district court of the county wherein the injury was inflicted or of the county in which the claimant resides. An employer may also appeal a decision of the organization in any injury case or an organization decision issued under chapter 65-04, in the manner prescribed in this section. An appeal involving injuries allegedly covered by insurance provided under contracts with extraterritorial coverage shall be triable in the district court of Burleigh County. Any appeal under this section shall be taken in the manner provided in chapter 28-32. Any appeal to the district court shall be heard on the record, transmitted from the organization, and, in the discretion of the court, additional evidence may be presented pertaining to the questions of law involved in the appeal.