I’d say it is to do with whether the focus is on yourself or on others. The crazy yogins in Tibetan Buddhism only care about others. As Trungpa Rinpoche put it in one of his poems “Stray Dog”

Chögyam is merely a stray dog.
He wanders around the world,
Ocean or snow-peak mountain pass.
Chögyam will tread along as a stray dog
Without even thinking of his next meal.
He will seek friendship with birds and jackals
And any wild animal.

While those who are crazy and think they are imitating the crazy yogins, for them it is all “me me me” about their image, what they seem like to others, what they make of themselves, copying others, getting drunk, doing crazy things for the sake of those other crazy things which they think somehow are cool. None of that is crazy wisdom.

It’s when you let go of all that focus on yourself and think only of others, don’t care what happens to you, then you may touch crazy wisdom. It’s not a path to aspire to, as a career path or some such. Crazy yogins often die young, as Trungpa Rinpoche did. So there’s nothing in it for you if you do become a crazy yogin. And if you imitate a crazy yogin, then it’s going to get you into more and more trouble and that’s not an enviable path either.

It’s a path for very few, and the ones who follow it basically can’t help themselves. It’s just that it’s the path they ended up on as a result of their compassion. And in Tibetan Buddhism then one of the safety features is that generally they would do it in reliance on a teacher too. The teacher helps mainly by being “other” and not themselves. So they are not doing it for themselves, not at any level at all, not even the most subtle.

It’s not really a “higher path” either. It’s just one of many paths. Whatever temperament you have, whatever situation you are in, then you are on a particular path and whatever that is - that’s the one for you to follow :). Maybe you end up in a situation where what’s needed is crazy wisdom and this also is what springs forth. But that’s very very unusual. If you try to force yourself into such a path, then you are in for nothing but trouble. If you end up on such a path in the natural course of events, well, you are in for nothing but trouble too in a way, at least as ordinarily understood - look at Trungpa Rinpoche’s life - it was no walk in the park. But because the focus is on others, not yourself, then that’s not going to matter to you.