It would be interesting to control for distance travelled, and see if a third factor emerges where teams play worse even if they can stay at home and don't have a significant train/plane/bus journey to make. The third factor could be very minor differences between the grounds, or a pure placebo effect, or a tactical reaction to the placebo effect (teams often set up more conservatively away from home because they expect to be at a disadvantage).
(I haven't read the article yet - I've used up all my free Economist articles - so maybe it touches on this, but it's neglected in your post).
I've seen results before from American sports saying travelling East is worse for a team than travelling West, because of jetlag effects, and travelling to Colorado is bad, because of altitude effects. Those results would be tricky to tease out with your approach: if West Coast teams consistently perform 5% worse when playing on the East Coast, you can't tell that apart from East Coast teams playing 5% worse on the West coast by looking solely at win rates. The study I'm thinking of did something clever with looking at multi-game series to evaluate the jetlag effect.
Teams who were on the boundaries of these often took advantage of it, my home team played in a larger than average pitch and you would clearly see teams that went in full pressure to lose a lot of gas by the second half, the best coaches knew how to make this count. On the other side of the spectrum, teams with shorter fields favoured playing long balls straight from goal kicks to the strikers.
Tbf I miss a little bit the days where these small inconsistencies would affect the game and require a little bit more studying on the coaches part.
However, the really interesting thing was I remember hearing an interview with an Arsenal player (possibly Lee Dixon) saying he knew just how to hit a soft pass into a shallow groove that ran along the side of the pitch - it looked like the ball was going to go out of play but it would catch this groove and move up the pitch instead.
The home fans were also much more in their faces (though it never helped seemingly when we fell off a cliff at the 80 minute mark to throw it all away...)
Maybe the difference is minimal and melts away after the first ~15 minutes when you get into the game, but you can yourself into quite a big hole in the first 15 minutes (https://www.youtube.com/watch?v=KRx3KrQ83mc)
Went to one. Was way Wilder than a typical hockey game
https://www.cell.com/current-biology/fulltext/S0960-9822(16)...
Also pitch sizes are not strict and both width/length vary.
The comment doesn't cover the article contents.
However, structural advantages do exist. The best example is actually MLB, where each team's field is shaped differently. The dimensions of the park impact hitters to an extent that it makes sense to tailor the roster composition to the yard at the margins: lefty hitters who loft many short flyballs in Yankee Stadium will hit homers that would be easy outs in most places, the typical left fielder won't be able to cover enough ground defensively in Pittsburgh, etc.
Many years ago, fans were allowed in the outfield at baseball games and were held back by a rope. A home run was when the ball flew (or rolled) past the rope.
Since the "line" was just a flexible rope, when the home team was batting the crowd would push the rope forward to help raise the odds of there being a home run. When the away team was batting, they would pull the rope back to lessen the odds.
Also, reminds me of the old Gatorade commercials with Old Shaq were he talks about how basketball changed (in the future) and he says "And then they put in the moving backboard..."
* What fans influence: subconscious referee biases (not wanting to be booed for a close call), heckling that slightly impacts players’ focus, objects being waved in their line of sight, noise levels rising at inopportune times, etc.
* Travel/comfort: the home team players sleep in their own custom-tailored sleeping environments (these can include stuff like oxygen tents, not just nice mattresses), don’t spend time encased in a plane / train / bus environment not designed for optimizing future athletic performance, and don’t have travel stresses and logistical headaches. Also for those inclined, the local club / strip club / groupie scene doesn’t hold the same mysterious allure on a random Tuesday night as it might for the lad from out of town.
The second set of factors remains even when fans aren’t allowed inside the arena.