The purpose of a system is what it does as a whole, even if (end despite that) one part of the system (e.g. sports viewers) would like that purpose to be different. A system fulfilling that purpose would be enjoyable by many, but it doesn't exist, and ads are a major irreplaceable part of the system that does exist - key parts of which are not only fans and casual viewers but also teams (and their budgets), players (and their salaries), and TV stations.
If we eliminate ads, you can say goodbye to many "free" services people take for granted now, or expect to need to subscribe to them for a monthly fee. Of course, that could work, but it'd be very different than what we're used to I think.
The fact that we are even able to have this very conversation to discuss the pros and cons of ad-supported models seems to point to the fact that someone can like an ad-supported business’ services while not liking ads, and it is not a ridiculous or nonsensical position to hold.
Anyway, it seems we’ve diverged quite a lot from whether or not you can be a fan of watching tv sports and also not like ads.
I think it's the same with pro sports: it's all about profit, so they're going to shove ads in there somehow. Sure, maybe you can buy a subscription and avoid the most annoying ads, but you're not going to escape the embedded ads: sponsor logos, digitally-inserted ads, etc.
If you just want to watch sports without ads, the only way is to watch sports that don't have a profit motive, which excludes professional sports.
Maybe I'm a unicorn here (it would be surprising to me given the number of people working on ad-blocking tech, but who knows) but I truly, sincerely do simultaneously like ad-supported content and do not like the ads, and am happy to pay creators directly through subscriptions and use technology to otherwise get rid of them.