The issue of when and how to return to business following COVID-19 lockdown is occupying the minds of policymakers, C-Suite executives and managers the world over. We are concerned by the extent to which it appears that these decisions are being taken on a wing and a prayer, while being pitched to the public as though they shouldn’t be questioned. In this paper, we compare the likely impact of COVID-19 infections from travellers coming from the main countries that visit Greece, to the revenues they generate for the Greek economy. We find that arrivals from some countries should be excluded but aren't, while arrivals from other countries that are excluded perhaps shouldn't be. We show that a rational choice around limitations on the reopening of tourist markets depends on the demand for travel to Greece. We conclude that the current policy is largely economically rational, with some exceptions, but also speculate that Greece may not be ready to handle the resulting infection load.