What is the scientific explanation behind open fermentation leading to increased esters and yeast flavor & aroma?

I think another aspect of all this that got brushed over, is that of temperature. Ester production is very relative to temperature. If you are using ale yeast, you are in or very close to the ester production zone. (17-19C) I tihink open fermenting lends it's self to lagers, because of this ester/temperature issue. Your sub 10C ferment temperature largely attenuates the ester problem. Couch quarterbacking here. Any comments on this.

What you're asking is called the Pasteur Effect: the effect of oxygen on yeast fermentation. Pressure's not a factor. Oxygen is.

First, a word about esters. An ester is formed when a molecule of organic acid reacts with a molecule of alcohol. It's a pretty simple reaction and can occur somewhat at room temperature or even below. the smell and taste of the ester are determined by which acid and which alcohol react. That banana smell is isoamyl acetate. Methyl butyrate smells like pineapple. (I'm a retired chemist, so forgive me. Old habits die hard.)

Anyhow, as for the Pasteur effect: Yeast are facultative anaerobes, meaning they can survive either with or without oxygen by using different metabolic pathways. In the presence of air (aerobic fermentation), the abundant oxygen will favor the pathway that produces organic acids, some of which go on to form esters with any alcohol present (and there will always be some).

With no oxygen (anaerobic fermentation), the yeast will use another metabolic pathway that produces mostly alcohol.

As far as I know, all commercial potable alcohol is produced anaerobically. There are some cultures that use aerobic fermentation, but that's is super-primitive technology. Vinegar manufacture uses aerobic fermentation, but I don't think they use the same kind of yeast.

Im no scientist, but I can tell you that there are wild yeast amongst us! I am reading up on making wild yeast breads and it is quite interesting. I assume that it has more to do with the yeast and less to do with pressure.

What a great experiment for sure. I think I will try it and use bottles for a more direct and immediate side by side comparison that I can perform numerous times and with different groups of friends.

The answer is sort of hidden in the inverse of your question:
Closed fermentation leads to decreased ester production.

It does this through increase pressure in the vessel. It has been well documented that increased pressure slows fermentation and yeast growth to some extent; both of which also suppress ester production to varying degrees.

This pressure is caused either by an increase in pressure formation in the head of a fermentor or by hydrostatic pressure of a really tall water column pushing down on the beer.

Hydrostatic pressure reducing esters is why many commercial brewers ferment at higher temps than we homebrewers do with the same yeast strains. The tall conicals tend to slow yeast performance more than smaller tanks do (open or otherwise), leading commercial fermentation in the 72F range where a homebrewer may ferment the same wort with the same yeast at 65 to get the same flavor profile.

Hydrostatic pressure though normally isn't an issue in 5, 10 or 15 gallon batches. The "water column" is just to small.

However, relieving the head pressure in two identical fermentors can be significant as you witnessed.

Lastly, I have never seen any literature that actually spells out the biochemical mechanism by which this works. Its just been documented that head pressure does suppress ester formation. I have had this convo with a handful of pro brewers, and had to scale back fermentation temps sometimes when trying to replicate a beer using a recipe from a commercial brewer.