Potentially the corona virus could be up there with the common cold in terms of finding a cure .
There's also a major difference in the nature of the pathogens in question. SARS-CoV-2, despite some variability, still presents basically a single target for the vaccinologists to aim at. According to the information on the US National Insitutes of Health website, "More than 200 different viruses are known to cause the symptoms of the common cold," (only two of which are coronaviruses). To "cure" the common cold by means of vaccinations could need many, many different vaccines - possibly hundreds of them.
NIH research - understanding the common cold.
You really can't make a comparison between finding a cure for the common cold and finding a cure for SARS-CoV-2.