All good advice.
I will note why you might want them tighter, as no one has mentioned this.
If you are doing a lot of fast beats with rapid open hat accents on the hat, having the top clutch tighter allows less delay from foot action to hat opening. Fast 16ths with right and left hand accents are a good example of this.
BUT, that little screw that tilts the bottom hat should also be used. If the hats come together 'square' they have the highest chance of vapor locking (where the top hat picks up the bottom one when opened quickly).
Zildjian Quick beat hats were designed to reduce this, with four big holes in the bottom hat. I drilled two small 1/4" holes in my 15" field cymbals at the bell for the same exact effect, without a big change to the sound (no change really). I prefer new beats (no holes) but have not had this problem.
All this said, it is a personal preference. Where/when I was doing a lot of this fast hat work, I spent several hours working out just exactly where my hats needed to be with regards to height, position, tilt, spring tension and all the other adjustments afforded a DW 5000 hi hat stand. It was well worth it, but it is an investment you may need to make. If you are just playing simpler beats such as early Beatles stuff, you should listen to the guys here who suggest a very loose top hat. It enhances the part open wash and the cymbals will respond to your touch a lot better. My old kit with the cheap old Pearl HH stand is set this way because I don't play those hats (that kit) the way I do on my big kit.
One fast hat 'big kit' beat (from Missionary Man): 1 e + a 2 e + a 3 e + a 4 e + *a* 1 (repeat 4 times, fill from 4 to 1, repeat phrase, at ~110 BPM.) Bold are open hat marks with corresponding bass hits underneath. The last *a* is a snare- either a single stroke or double 32nd's. Not terribly technical but it fits the song well. Later in the song it is basic metal style open hat eighths (so the hats can't be too tight on top) with more challenging (single) bass drum work to keep it interesting, and a third section is wide open quarters on the ride at reduced tempo (garnished with atmospheric sounds and cross stick), about 60 BPM for that, and then a build and back at turbo speed again.
PS I haven't played this song in a while and never wrote it out either... My head hurts Mind Blowi remembering what I came up with back then and I doubt I could play this part as recorded today. I'd need a lot of practice to get my chops back to that level!