Consequences of withdrawing my counter in high court appeal

What will be the result or consequences of withdrawing my counter in the High Court appeal filed by the opposing party against the dismissal of their divorce case by the Family Court after trial? I mean filing a 'not interested to proceed' application. What will be the result or consequences of withdrawing my counter in the High Court appeal filed by the opposing party against the dismissal of their divorce case by the Family Court after trial? I mean filing a 'not interested to proceed' application. Given that the appellant is dragging the case, would filing such an application from my side help expedite the case closure? Now I am not concerned about whether the appeal is allowed or not.