You can turn it off on the mobile site, however you will see a header above every post mildly nagging you about the content in high-contrast text (annoying). You can't turn it off at all on the iOS app, as best as I can tell, so you're just going to have to tap reveal all the time (frustrating).

For some reason they decided to elevate random noise to the same level as pornography, forcing you to automatically reveal it all (on platforms that support that feature) or just be annoyed.

It's a minor thing in the grand scheme, but it does leave Twitter in a superior, less user-hostile position.