Funny that this should pop up now when I am considering the first cold crash in a long time. I believe it is now recommended (by some) to lower the temperature by (don't quote me) 2 degrees a day, 1 degree at 12 hour intervals down to CC temp.
At my current diacetyl rest temp. of 22 degrees that would take 10 days to get to 2C, plus say 4 days at 2C, something I only ever previously tried for a Pilsner.
The wait is rather tedious and ties up one of my fermentation chambers for a long time.
I also CC by just screwing the top hard on my Speidel FV which seems to be able to take the vacuum with only minor distortion, but then I need to let it get back to room temperature before I open the lid to transfer so as to avoid sucking in oxygen, so another 24 hours or so.
As The Baron said, it will clear with time anyway and I will be trying Brausol in the keg.
I'm a little late to the chat here but I thought I'd add my 10 pence for the sake of it.
Nearly all commercial breweries will cold crash, whether for cold crashing sakes, forced carbonation, conditioning (lagering) or if they will be filtering (better to be cold as the proteins latch together allowing the filter to do a better job. Hazy beers are still cold-crashed, and I'm not talking about chill haze, but intentional hazy beers with extra proteins.
Home brewing has its own set of problems, for instance, commercial breweries benefit from having massive fermenters, which creates pressure and technically the beer ferments under pressure, this is not so wide spread done in home brewing, but it does actually help with flavour as well as clarity.
Another factor is complete containment from external factors, bugs, oxygen etc... being able to transfer from fermentors to conditioning tanks, or using uni tanks for the full process and being able to dump as you go is a game changer for home brewers, it's difficult to recreate for people using carboys or buckets, even stainless steel fermentors like the Grainfather has difficulties if you don't understand the principles.
One tip is to keep that pressure up when cold crashing, in a commercial space this can cause a vacuum and collapse a tank. Never seen it with my own eyes, but I have seen the results. Not a cheap mistake.
Happy to have anyone come back with comments, as there is always another way of doing things. None of what I have said is 100% as brewing is as much art as is science. I'm just talking from my own experiences. Also, it ultimately comes down to what you prioritise. If you are happy with chill haze, or bits because it amplifies your flavours then do it, make it a part of the story. But for traditional clarity and styles, my suggestion is to try and emulate the big breweries in a way that works for you.
I use finings on my beers, dump, cold crash dump, and then filter on the way to the keg. I have a grainfather conical fermenter, I use a spunging valve to ferment under 2 psi (not a lot but I feel it makes a difference), I have removed the bottom hose for plastic couplers that allow me to connect an inline filter from Brewtools that goes directly to the keg. The previously mentioned spunging valve is attached to a 1.5"TC plate that has a ball lock and a 5psi release valve so I can push with CO2 into the keg without blowing up the fermenter (5PSi doesn't seem to give it too much trouble, not that I need to go that high to push).
Sorry, that was a long one, I'll leave you to it.
Good luck and happy brewing.