As a scientist who is paid to research the impact of oxygen in wine (amongst the many hats I wear) there are a few points that need clearing up.
During active fermentation, gladwrap, or no lid is fine, not perfect but in a homebrew situation, ok. Once fermentation slows down the gas laws that have been bandied around will come back to haunt you. There is nothing to stop oxygen getting back in to your fermenter as there is no measureable positive pressure. I've fermented many times with gladwrap, it domes during active fermentation and then collapses well before fermentation is complete. As others have pointed out, plastic is not an oxygen barrier. The sooner beer is transferred to keg/bottle, the lower the risk of oxidation.
Ask any winemaker/brewer who does this for a living whether they would leave wine/beer exposed to air post-fermentation. Any amount of headspace will contain oxygen due to the partial pressures discussed previously. Yes, even in wine which has a lower pH, higher ethanol content and vast amounts more naturally occurring anti-oxidants plus the ubiquitous addition of sulphite in large quantities, is very susceptible to oxidation once fermentation is complete. Winemakers go to great lengths topping up wine in storage and actively removing oxygen from the headspace, the best way to do so is to reduce the amount of headspace itself so wine is stored in vessels as close to capacity as physically possible. Stainless steel vessels with rubber seals. Beer is a sitting duck by comparison.
I recently stored wine in a 1000L HPDE plastic 'cube'. In 6 weeks, despite removing the oxygen in the headspace using dry ice (CO2) daily, sitting in a 0C room, the sulphite content dropped dramatically (41mg/L free SO2 to 25mg/L). Why? Oxygen was getting in to a sealed plastic container and reacting with the sulphite. Imagine a similar situation with a beer, cold conditioning in a cube/jerry can. No sulphite to protect it.
In working in this area I control oxygen levels down to parts per trillion and to do so requires a lot of effort and positive pressures in ss vessels. As I mentioned, there is no positive pressure in a fermenter or at least not anyway near high enough to prevent oxygen from getting in to your fermenters.
Despite flushing my anaerobic chambers in the lab down to <1ppt oxygen using nitrogen, and storing under a positive pressure of nitrogen all the time, I still measure an increase in oxygen concentration within days. They are flushed back down to <1ppt weekly. We measure the daily increase in oxygen in sealed glass wine bottles under a variety of closures and they all allow oxygen in. Yes, even screwcaps.
Using beer judging results to justify this is laughable. As someone who is also BJCP Certified the 'training' is non existent. Taste a few beers, answer a few questions and you get qualified. Let's not even go in to how many orders of magnitude easier it is now. I'd wager large amounts of money that the vast majority of beer judges, myself included, would fail a simple blind judging test we put wine sensory panellists though. Beer judging is a subjective and all results should be taken accordingly.
Using the open fermenters as evidence? Please. How long do they allow beer to sit in those fermenters? A few days of fermentation and they will be protected from oxygen by transferring to sealed vessels.
Hats off to GregL for attempting to help fellow AHBers out, I don't know why he bothers giving the response.
And with that, I'll disappear back in to the ether.