Func<TResult>和Func<T,TResult>在方法签名中是否有1个名称?

我有两种方法:

private static async Task<T> GetInfoAsync<T>(MyClient service, Func<Task<T>> funcAsync, string resultText)
    {
        var result = default(T);

        if (service != null) {
            try {
                service.Open();
                result = await funcAsync();
                service.Close();
                Console.WriteLine(resultText);
            } catch (Exception ex) {
                service.Abort();
            }
        }
        return result;
    }

    private static async Task<T> GetInfoAsync<T>(MyClient service, Func<string,Task<T>> funcAsync, string resultText, string param)
    {
        var result=default(T);

        if (service != null) {
            try {
                service.Open();
                result = await funcAsync(param);
                service.Close();
                Console.WriteLine(resultText);
            } catch (Exception ex) {
                service.Abort();
            }
        }
        return result;
    }

是否可以为两个函数创建一个方法? 类似于 “私有静态异步任务GetInfoAsync(MyClient服务,Something??,string resultText,string param)”