The Short Version
The claim is largely accurate. Multiple peer-reviewed systematic reviews and large-scale studies — including data from 68 countries — confirm that rising nighttime temperatures degrade sleep quality and quantity worldwide. However, the evidence primarily establishes strong associations rather than formal climate-attribution causation, and the effects are highly uneven: the elderly, women, lower-income populations, and those without air conditioning are disproportionately affected. The core message holds, but "global scale" somewhat overstates the uniformity of the disruption.