Esters are created in the growth phase so by forcing it to take longer The yeast produce more esters for a longer period of time.
again, this doesn't jive with anything i've read. esters are indeed created in the growth phase, but they are created by amount of growth (i.e. how many cells are created, how much cell division occurs) - not the speed or amount of time over which it happens.
if the optimal final number of cells for a batch is 400B, you'll have more esters with a 100B pitch (because it has to multiply 4 times) vs. pitching 200B which requires only a 2X growth factor. pitching warmer or cooler doesn't change the growth factors required of your pitch. if anything, a cooler pitch might make the yeast sluggish and cut down on how many times they divide - resulting in a cleaner, and possibly less attenuated, beer. (aside: this is why one waits a few days before starting to ramp up temps. by starting cooler you get fewer run-away esters and fusels. once the main growth phase is over, then you can increase temps with minimal impact on flavor profile)
but perhaps i haven't been reading the right sources... if you could point me to sources that describe cooler = more esters, i'd appreciate the opportunity to learn.
Regarding lagering, that’s completely different story. Those strains typically produce very little ester to begin with and they are fermented closer 50 to keep them as clean as possible. So that’s comparing apples to oranges.
lager yeast can produce esters - fewer than ale yeast, as a general rule, but they are not ester-free. try pitching a lager strain at 66*F - you'll get plenty of esters (re: california common), a lot more than what you'd get with an ale strain like chico.
as you note, cooler temps = fewer esters ("they are fermented closer 50 to keep them as clean as possible"). a difference between ale and lager strains is that most ale strains will not ferment well at 50 whereas lager yeast is happy at those temps. so another way of looking at it: to get fewer esters, ferment cooler; and to ferment cooler use a type of yeast that is happy when cool - AKA lager yeast. but perhaps you have information that contradicts this?