Because it is not a myth, it is science.
The science is that algae growth drops as water temperature drops. Below 60F you get little algae replication.
Now if you have an algae free pool, that many of us who follow the TFPC methods have, then you can close at any water temperature since there is no algae to replicate.
However, if you have some algae in the pool then closing when water temperature is down around 60F and opening before the water gets too warm lets you get chlorine into the pool before the algae gets a chance to grow.