I would counter that the field of play is everything inside the fences, fair or foul, because the ball can be played in foul territory. Basketball and soccer players frequently stand out of bounds for inbounds passes, corner kicks, etc., so that’s not that big of a distinction.
The defense controlling the ball was something that developed. In the early days of baseball, the pitcher’s job was to throw something the batter could hit – in essence throwing BP. This came from cricket, although a skilled bowler can induce the occasional out there too.
Of the ones you mentioned, only baseball uses an implement (gloves) to handle the ball. Lacrosse and Jai Alai are other sports doing the same. I guess you could say soccer uses shoes to do the same, so maybe this is not irontight.
There is NO game clock; the game is over then the final out is recorded, whenever or however long that may take.
I DO have one minor beef with one of your points. The two teams are NOT "guaranteed’ the same number of plays. If the home team is ahead after the top of the 9th (or whatever inning, if it goes into extra innings), they do not bat and therefore would have 3 less outs than their opponent.
Say you were playing your hated rival. Even though the game is decided, could the home team chose to bat one more time? Its probably like calling the game because of the weather. The Umps can chose to end it when the outcome is decided, I guess, but I thought I would get clarification. Kind of like the “mercy rule”, once the outcome is reasonably certain, the game can end regardless of the actual number of at bats.