Let me then clarify what sudden path is as I see it. The first thing is to realise the nature of mind. The mind is buddha, there is no further thing to develop or remove, it's originally pure. Therefore, the path is to keep the buddha-mind. No practices, no techniques. And the attainment is the very same buddha-mind, nothing more or less. Even in Jinul's teachings, where seeing nature is only the 1st stage of 52 stages, the only thing to do is to maintain the clear view. No further practices. Why? Because the initial realisation is already complete. If one had to apply methods then it would not be any different from the common gradual teachings.
Yes, you are right, but that is very theoretical and very ideal.
If there is such a student, and probably there is, it will work perfectly.
But, in practice, that is not what is happening.
The first thing is to realize the nature of mind. This one itself can take aeons. Buddha said he can only teach us, but at the end all depend on us. Enlightenment cannot be transferred. Words can be transferred, but not enlightenment.
Even if there is a master who transfers the nature of mind, such the prayer of Samantabadra, that master cannot transfer his enlightened mind to his student, no matter how good that master is.
And for the student, in order to perfectly get the meaning, is not as simple and as direct as claimed.
10000 students receive initiation will have 10000 version. If the teacher ask to stay in your true nature, in the same way, you will have 10000 version of staying in your true nature.
So, from here we can't say that OK, because for sure the student regardless how they stay in their true nature, their true nature will not be the right true nature. It will be wrong here and there.
So, although on paper, everything is nice, in practice, you will still need the path.
The view can say anything like no path. But, paradoxically, there always give you "the path", whether that path is just a reminder or more than that. Because, reality is not that ideal.