I prefer to see Rayta as the "dominant" strain within Hindutva
Representatives include Modi, Swamy, Advani
None of these people would call themselves "paramparAvAdi"
They would call themselves "hindu rashtravAdi"
The last truly "traditionalist" socially conservative party was perhaps Rama-Rajya Parishad, and to a lesser extent Swatantra party. Possibly Jana-Sangh too
But definitely not BJP in its post 1984 avatAr
1. Classic "Raytas" - HIndu nationalists, reformists, conservative but not "traditionalist". E.g. Swamy, Modi
2. Classical liberals - People with tenuous link to H, but still side with BJP. SM voices like @Iyervval or @ARanganathan72
Nor 2 with Progressives who are on the Left
Who had a rather complete view of how society ought to run with indigenous principles
The so-called "Integral humanism".
He was its prime ideological godfather for much of 60s-70s
But since 80s it has ditched Upadhyay's social conservatism and embraced an earlier more radical "Rayta" like strand championed by Savarkar