I feel like I'd have a better chance clearing the cache for the app than the cache for the web app.

It's a few clicks in any browsers dev tools or a few more clicks in the settings, and is the same for every website.

With a native app the cache could be in any number of places on your hard drive, you have to depend on a function being in the app to clear it, deleting it manually might have unknown side effects, and it's all nonstandard.

Websites can’t write to arbitrary places on your FS and the browser has a central way to delete the data that a website can write.

Desktop apps can write anywhere, and what it writes might or might not be a cache, so there’s no way to centrally manage it. Apps like cache-cleaners simply hard-code common cache paths for common apps.

Teams web version has local storage of 2gb.

The problem is developers don’t know what the hell they’re doing

The problem is devs have beefy computers with 2TB SSDs.

In music, producers would listen to their mix on different audio systems, including crappy radios.

Not just the producers, but musicians often do this as well (the good ones anyway!)

Eh? People have some control over native apps too. It’s just a trade-off of what you want to control. I like how I can control the time I spend in my workflow just because native apps are faster and more battery-efficient, and don’t override OS gestures and mouse events within their own windows.