This claim is false because humans are not innately wired to be nocturnal or diurnal - we can be either. It varies from person to person, which explains why there is a debate at hand here. What works for some people may not for others. At the end of the day, there is no right or wrong sleep schedule, but there are some evolutionary factors at play here.
In 2008, the American Journal of Physical Anthropology conducted a study on primate sleeping patterns and the evolution of their vision. The study, in short, discussed that the way our brains, bodies, and eyes evolved point towards there being diurnal primate ancestors of homo sapiens. This means our eyes are genetically better at seeing while the sun is up, our brain functionality works best in the day, and so do our other biological systems. This is not to say that certain people operate better at night now, as humans continue to change and adapt. These evolved bodily functions were the result of organisms needing to hunt during the day to survive, something that modern day homo sapiens do less of.
Additionally, in Seeker's piece "Why Humans Aren't Naturally Nocturnal", they explain that the human circadian rhythm is naturally attuned to sleeping in darkness. In modern times, darkness can be obtained more easily than millions of years ago, so circadian rhythms can be tweaked to different lifestyles. Originally, it was directly tied to the sun and daylight. Seeker went on to say, "The brain adjusts the circadian rhythm according to how much light enters the eye. When it's dark, the brain floods the body with hormones that lower blood pressure, stress levels and body temperature." In this way, any darkness when one actually goes to sleep will aid in them being able to adjust and be well rested.
In your original claim, you also discussed how sleeping during the day time still allows time for activities and social time, which can not be explicitly falsified or confirmed as that is up to individual schedules and time management. At the end of the day, in modern times, humans are able to have varying different sleeping schedules to better fit their lifestyles and schedules, so there is no longer a right or wrong answer for when the best time to sleep is.
AJPA Source: https://pubmed.ncbi.nlm.nih.gov/19003895/
Seeker Source: https://www.seeker.com/why-humans-arent-naturally-nocturnal-1902920089.html