Usually, you don't see a huge attendance bump in the season in which you rise to power, unless you get just a ton of walk-up traffic and that usually doesn't happen. It's the year after your first big year where attendance usually rises in the form of season-ticket sales.
Other thing to consider is people plan vacations or activities on certain dates months in advance, especially when it involves family and kids. If you think in March your team isn't that good, you might not plan a ballpark trip for the summer because you'd rather spend your disposable income on another big trip or outing.
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