I should have clarified. Secondary fermentation happens - whether you like it or not - after vigorous primary/krausen (which should be 3-10 days), where attenuation slows on the way to FG and some of the intermediates/byproducts start to get cleaned up. You can do it in your primary FV or a separate FV. If you disagree that's OK, but it's how the question was framed.
Another point is that I think most of this is probably a lot less relevant for keggers. Give it 2-3 or maybe 4 weeks in your primary FV, drop temp for a few days, keg and the beer further conditions in bulk. The question of flavour development (temperature of 5-10°C and darker beers) is still worth thinking about though.
So secondary - again, no matter where you do it - should achieve three main things: allow the beer to hit FG; clarify the beer; and develop flavour while (if done properly) preventing negative flavours coming in. Noonan's lager book has a whole chapter on it, BLAM lists it for nearly every beer, Warner's book on wheats insists on skimming hops/protein from the krausen and moving to a second FV to sit at 4-8°C, while Brewing With Wheat barely mentions it.
Pretty well every beer in BLAM has got a secondary from 2 to 8 weeks, over a temperature range of lager temps up to 10°C (4-6 weeks for the Westy 8 and 6-8 weeks for the St Bernardus 12), and 0°C for six weeks for a few trippels. There are also a few that do 3 days at 0°C (Chimay), and some that do 2-4 weeks at ambient temp and a couple of days at 0°C. To my mind (and my experience) most things sub 10°C will clear in a few days or a week with poor flocculators, so a lot of this time seems to be for flavour development.
How many of you out there have had an ESB or porter after 6mths vs 4-6 weeks? Taste any different? I guess my approach is leaning towards "could this time to develop some of the caramels, fruits, esters be sped up if I age in bulk rather than in each bottle?". Acetaldehyde needs to convert to alcohol, higher alcohols can convert to esters, sulphur compounds get broken down and I'm sure a lot of other things happen. I think finings are an interesting one as there is likely a bit of a flavour improvement too, and it probably reduces aging. I've never got around to trying it though as I always think it's less hassle to transfer... if it saves time though....
I can imagine a weak boil and carrying over hops to the primary FV then letting it sit there for 4-5 weeks can't be that good for a beer - particularly a wheat or lager, though even PA's might have a harsher bitterness. So boiling and wort handling have got to play into it too.
Autolysis is really dependent on yeast metabolism, which is dependent on strain and temperature. Having a beer in the 20's that has basically hit FG with a vigorous yeast (most Belgians are, a couple of wheats are and most ales are) and sitting for 4-8 weeks is probably risky. And I guess hop resins, particles, certain proteins siting in contact with the beer can feasible introduce 'off' flavours, so in a highly controlled commercial brewery you can see why they do it, and often blend old beer with new. And you can start to see why Warner seems to be so paranoid, but to be honest I didn't really like that book.
My experience a few years back, I would do it religiously and did have bright, clean beers and my English bitters had a fantastic malt/ester profile. I haven't done as many these days and I haven't used a separate FV for about the last 10-12 beers, and each one has seemed to need a lot more aging and has ended up with a lot more crap in the bottles. I know finings is a really good option, but I'm really considering going back to speed up the aging - and I'm confident about avoiding infection and oxidation with my methods. I have a dubbel now that's in a separate FV with 3944, so seems like it ticks all the boxes for benefiting from a separate FV for secondary, so we'll see how that goes.