Science aside. I find they do get cleaner and the flavors come together better if I leave it a month in the fermentor, and that bottle ageing is not as nice.
How long do you leave them in the bottle before you feel they are best? For example a standard pale ale.
Edit: But it looks like you mostly Keg? So you are still 'aging' in bulk, which is what I am getting at.
I think what happens in the weeks after fermentation is mostly just solids like yeast and protean slowly falling out. The yeast are done. Off flavors will mellow in time but it will never be as good as it could have been without the mistakes that caused the off flavors in the first place.
For me, I make mostly hoppy APAs and IPAs. They tend to be best at 3-4 weeks or so after brewday. I do have a stout that needs a few more weeks to meld, so it's best at about 6 weeks after brewday and stays awesome until the keg is gone.
I don't think anything like autolysis will happen in 4-6 weeks in a fermenter at reasonable temperatures. I just don't think there is any benefit either, though, in a well-made ale.
Maybe people parrot the "month in the primary" trend without really noticing the differences. A well made beer may not be harmed in the least by a month-long primary but I still fail to see any benefit except that brewers can be lazy like winemakers! (I'm a winemaker- that's not an insult!)