NCB & TfT: I don’t think the nomenclature is all too important. If that’s what a Classic Litvak is, today the terminology/nomenclature has changed in popular usage from CL to become MO. I think CTL today clearly falls into what today is called MO.
As a second and separate point, I think that a) CTL has a similar background to how many other current MO people “shtam” from and b) what CTL was 50-55 years ago is the natural progression of what is MO today.
CTL — I say all the above in complete respect. You can comment on its accuracy. 🙂