So in the presence of large excess capacity he is in favor of policies intended to increase demand. But he is concerned that the standard policies (e.g. increase government spending) will not work this time. And this is because the private sector might undo the actions of the government by saving more (to pay for future taxes). The proposed solution is to direct government spending to activities that increase productivity so that output and incomes grow (and this helps keeping private spending up and tax revenues).
No one can disagree with the statement that if the government can choose between different spending projects, they should select the one with the highest return (in terms of productivity and income). But we need to understand that the advise for the government to invest in productive investment applies at all times (good and bad). What is different when there is spare capacity is that "pure demand" policies can bring the economy closer to potential in a shorter period of time. By doing so they will be increasing the overall output and income of the country. And this additional income is the source of potential increases in private spending and tax revenues. This is the intuition behind the Keynesian recipe for times of high unemployment, which is consistent with the concerns of Justin Yifu Lin. Of course, if in addition we find projects that improve productivity, innovation, human capital, even better. But there is no need to keep searching for such projects when we are producing below our potential.
Antonio Fatás