Tony Khan is someone who actually cares about wrestling and is super passionate about it. It's not just some dude throwing around his rich dad's money.
And AEW wants to provide everything that wrestling encompasses. That includes sports entertainment, among all the other aspects you can find in different promotions. It's not just one thing or the other. It's everything together. That can include over the top, weird, goofy shit like Broken Matt and serious, athletically-focused matches, among other things.
Regardless, like it or not, the Broken Matt shit was super over in Impact. It was the only thing people were talking about for a while, as far as Impact goes. It had a very mixed reception, but it got people talking and while some hated it, some really loved it. If it has an audience, it belongs in AEW, because they want to give every type of wrestling audience something.