I recently purchased a 2020 2SS Camaro Convertible and have THE exact same issues.
I also own a 1968 and a 1971 and they both ride better than the 2020.
I will look into better tires this spring as it won't be driven in WI much longer.
It just does not seem normal to me that a 2020 with 31,000 miles drives like it does. I am kinda shocked at how well most say it drives.
I have a Dodge Challenger that also drives better.
When I test drove it the dealership had brand new roads all the way around so I didn't notice it until I drove home in the rain which was a nightmare. I will look a the Michelin Pilot Sport 4S or the Continental Extreme Contact Sport 02 Summer most are mentioning but I still am having a hard time believing it is all tire related.
I have owned sports cars all my life and have never experienced this before.