Rescheduling not possible without "View all scheduled transitions" permission

Not a final solution but I did find that updating the checkAccess function in ScheduledTransitionsAccessControlHandler.php to the following means that the node/media/etc access permissions apply + rescheduling is possible without the "view all scheduled transitions" permission and just the rescheduling permission for that type.

protected function checkAccess(EntityInterface $entity, $operation, AccountInterface $account): AccessResultInterface {
    /** @var \Drupal\scheduled_transitions\Entity\ScheduledTransitionInterface $entity */
    $access = parent::checkAccess($entity, $operation, $account);

    if ($access->isNeutral()) {
      $for = $entity->getEntity();
      if ($for) {
        // Most entities don't have a matching permission for this; use update.
        if ($operation === ScheduledTransitionInterface::ENTITY_OPERATION_RESCHEDULE) {
          $entityOperation = 'update';
        }
        else {
          $entityOperation = $operation;
        }
        // Combine with entity access.
        $access = $for->access($entityOperation, $account, TRUE);
        $entityType = $for->getEntityTypeId();
        $bundle = $for->bundle();
        switch($operation) {
          case 'view':
            $access->andIf(
              AccessResult::allowedIfHasPermission($account, ScheduledTransitionsPermissions::viewScheduledTransitionsPermission($entityType, $bundle)),
            );
            break;

          case 'create':
            $access->andIf(
              AccessResult::allowedIfHasPermission($account, ScheduledTransitionsPermissions::addScheduledTransitionsPermission($entityType, $bundle)),
            );
            break;

          case 'delete':
          case 'update':
          case 'reschedule':
            if ($entity->isProcessed()) {
              return AccessResult::forbiddenIf($entity->isProcessed(), \sprintf('Cannot `%s` when Scheduled Transition has been processed.', $operation))->addCacheableDependency($entity);
            }
            $access->andIf(
              AccessResult::allowedIfHasPermission($account, ScheduledTransitionsPermissions::rescheduleScheduledTransitionsPermission($entityType, $bundle)),
            );
            break;
        }
        return $access;
      }
    }

    return $access;
  }

This could definitely be improved but provides a rough approach.