You don't particularly need stats to prove it. It's pretty obvious from watching the league that sides like Brighton, Norwich, Wolves, etc. are more representative of how lower/mid table sides generally play than the Burnley stereotype is.
You mention corners but the reality is that we already have the tallest and most aerially dominant team in the league, it just doesn't count for much in isolation. Not even in terms of set-pieces, where organisation and restricting the number of set-pieces you concede in the first place wins out comfortably.
That's how City, third smallest squad in the league and carrying a first choice CB in the bottom 28th percentile for aerial duels won, conceded the joint-fewest goals from corners this season. Rather than fetishising height and aerial ability which we already have, it might make sense for us to actually learn from what the best team in the league does. We're trying to play in a style more like there's after all, not a style more like Burnley's.