I set mine really low, but I don't measure it. Sliding the point of a JP Jazz III chokes it out. On both E's.
But I never had a guitar with action this low until I got a Majesty, and there are reasons to use low action, reasons to set it higher, and tradeoffs.
I wanted the strings more out of my way for doing fast riffs, but in order to take advantage of that, I had to really work on keeping my fingers very close to the fretboard, and it took a lot of those spider exercises to improve it.
But then there's string bends, which for me, low action works against. The adjacent string wants to slip down under my finger, so again, I had to work at that, and it still happens.
And the worst thing, as has been mentioned wrt sweeps, but it can happen any time you change to a different string, is there's less room for the string to move away from the board. So you have to be in the habit of resting the tip of any finger against the next string when switching to another string, you have to rest your picking palm across the strings you just played, and move it across the strings, as you do a sweep, and you have to get your fretting fingers trained to only rise up just enough to stop the string from vibrating (which is the hardest of the 3), and use combinations of those 3 techniques, depending on the riff.
I literally practice an arpeggiated Maj 7 chord across the top 4 strings, and try to only lift my fingers just enough to choke the string, as an exercise.
Imo, it's really only useful (really low action), if you truly need it. Because, yeah, it results in a faster-playing guitar, but it then becomes harder, especially if your technique isn't trained for it, to keep other strings silent.
And then there's fret buzz in general. If I can't play a clean, arpeggiated passage such as this intro, without picking too hard and getting fret buzz, then the offending string gets raised until it stops. A little fret buzz gets masked with distortion for sure, but even the slightest fret buzz will come through when playing clean.
But again, for anything like this, I worked on my picking technique to be able to play it very lightly. You just can't have super-low action, pick something like this hard, and not get string buzz.