Yes, Whitesnake are Classic Rock.
They've just announced a tour for 2022 with Foreigner and Europe supporting them. However, they have an second vocalist to sing all the difficult bits Coverdale can't manage so I think I will pass on that.
First time I saw a version of Whitesnake was, IIRC, 1978 in a small club on Oxford Road.
I've seen Whitesnake several times in different versions. One time was in Nashville where they supported Motely Crue. Now I can't recall which band my wife (to be then, we'd just got engaged a few days before) said it about but she'd been by the pool during the day in the hotel I was living in because I was at work that day (on secondment from UK) and been surprised about some scruffy long haired guys had been by the pool too at one of Nashville's finer hotels until she saw them walk out on stage at the sold out arena we were sat in. The Crue that nite were probably the loudest band I ever heard.