The "common cold" isn't one virus, it's a series of viruses that tend to spread seasonally and have similar symptoms, as I listed above; and all have different characteristics such as HMPV which mostly impacts children, and appears to have been circulating for 200 years. The Human Coronavirus that you suggest was discovered in 1965 was actually discovered in 1961 by a Common Cold research laboratory. That doesn't mean it qualifies for being registered as a "common cold" virus, nor that it was the "original virus" for the common cold. It was a virus identified after samples from a patient with general symptoms. That doesn't mean it's classified as a "Common Cold Virus".
I know this might sound arbitrary, but to researchers it isn't. Symptoms do not equal classification. The inability of Kendal et. al. to cultivate the virus was what led to the discovery of the new clade of viruses. Simply producing a fever (aka cold) is not good enough for combating disease. This is why the first SARS-CoV-2 patient identified in a hospital in Wuhan was labeled as "SARS?" because the symptoms pointed to an upper respiratory virus, but all tests (even SARS-1 tests) came up negative and could not be identified by viral analysis. The only evidence they had of infection was the chest X-Rays...the same method that SARS-CoV-1 was originally identified in 2003...and something researchers had been warning about for the nearly 2-decades since.
The 60-odd years later...and the advent of RNA analysis, we've been able to trace viruses and their evolutionary clades. Clumping coronaviruses in with the viruses I listed in the previous post, as if to suggest they are something to be ignored or "common", is incredibly ignorant. SARS and MERS demonstrate exactly why they are a clade of viruses that should not be so ignorantly ignored or brushed aside as "common" because they jumping to humans are far from "common".
From RNA analysis we know all Coronaviruses, evolutionarily speaking, originate from Bats. Which is why researchers became increasingly concerned about the encroachment of domesticated animal farms in rural China, India, Pakistan and SE Asia because of the overlap with wild bat populations. Ironically this is where Pangolins, the most trafficked mammal on the planet, come into our little story...but that is a story for another time.