The basis for one system is not always the the basis for another system. For example, the basis in Dzogchen teachings is not the mind.
Dzogchen distinguishes various kinds of basis depending on whether we are talking about sems sde, klong sde or man ngag sde.
So in Dzogchen man ngag sde the basis is vidyā (rig pa), and not mind. Mind is an adventitious obscuration to be given up. As Longchenpa states in the Lama Yangthig:
"The essence of mind is the all-basis and the group of eight. The essence of vidyā is beyond the all-basis and the group of eight."
So you cannot be hasty and just lump everything together in a sort of a putanesca sauce of teachings.
Dzogchen is not easy. It is very subtle, and so hard to understand.
Inseparability, spontaneity, emptiness, openness.
You take a beryl gem and turn it around looking at this side and that.
You find the right angle and hold it up to the sun.
One ray comes in, magnified, it blazes,
And projects infinite dimensions into space,
Penetrating the dimensionless,
And liberating existence and nonexistence.