Remove purchased apps front Appstore I downloaded a whole bunch of apps for iPhone, and then deleted them.

But they are still associated with my account, and when I go back to the download page, I don't see the [GET] button, but the iCloud logo...

I want to get rid of that, and it seem that Apple has change the way it could be done before.
Once you've bought it [whether paid or free] it's yours forever.
You can delete purchases from all devices, but you still retain the right to download it again in future.

The cloud icon signifies that you can redownload it at any time.