For the teams that do their music for free (the rec teams, school teams, small small gyms) yes it will push the cost up. But the cost is already going up because people need to buy royalties if they want to use songs. Or they can try to find free stock music which honestly, will be a lot of work every year to switch things up. Or they need to make their own which I can't see happening. Music prices will probably go up across the board except for the teams that get completely customized mixes every year like the mega gyms get.
Hypothetically, a music producer could price their songs for $10 each. I feel like 10-15 songs is a decent amount of songs for one mix. 10-15 songs is only $100-$150 for music royalties which split amongst a small team (20 people) is only $5-$7.5 per athlete. If 500 teams across the country (which isn't a lot of teams when you take into consideration rec, school, and all stars all need music) buy 10-15 songs from one producer, that is $50,000-$75,000 of extra income a year. And this is passive income which means they make this while doing other things to make money.
ETA: I'm not trying to solve the issue of the increase in music costs because, unless you want to get really creative, it might be unavoidable. I was strictly talking about what opportunities the big time music producers now have because they are positioned in a really good place right now.