That matters for sure.. but I think the way it matters is by way of households that are able to provide the tax revenue that contributes to those means of advertising (facilities, salaries, stipends, etc.). Here's a great article outlining the obvious differences in the financial situations of Austin High School and Austin Lake Travis High School: [Hidden Content]
Two high schools not very far apart with similar(ish) enrollments. Austin High has roughly 2400 students.. which is much less than LT, but 2400 is plenty to field a decent football team in almost all cases. Vastly different average household incomes, though. You have kids from LT driving BMW's to planet fitness during the summers to meet an ex pro-athlete for a workout.. while Austin High kids might be sitting at home or working a summer job to help put food on the table.
This applies at every classification across the state (country). There are always exceptions, but more times than not: High household income, 2 working parents, spending summers at strength/speed camps, not having to work summer jobs, having a reliable vehicle to make it to weight room/school, running with kids in similar situation, access to best facilities money can buy, personal trainer, personal tutor, etc. etc. etc.... A kid with access to the list I just gave will ALWAYS have a leg up on a kid that doesn't. Now multiply that by entire teams/programs. Start looking at the average household income of the schools that are habitually making deep runs. The income translates to living situation.. which translates to property taxes.. which is a huge contributor to how public schools pay for facilities and teachers/coaches/stipends.