The ugliness of the web site as shown in your link is not directly caused by any law. The obnoxious cookie banners are meant to be obnoxious, in order to 1. get you used to clicking “OK” all the time and 2. convince you that the law that was made is somehow to blame for all this. It is not. If companies really wanted to make a nice clean experience, they would do what the law requires and stop hoarding all personal information. But they don’t want that; they want to make a political statement about how that nasty law is somehow making them do annoying things. But they brought it all on themselves. Don’t be fooled.
What would you say if there was a law that said everytime you made a purchase from a shop that uses a credit card reader then there had to be a lawyer present from the business to walk you through 50 pages of legalize that you had to read, initial and sign for your "privacy" because Visa might get a record of what you bought. You'd had to do this for every new store you visited even if it's to just pick up milk on your way home.
At that point I wouldn't care about "intentions" behind such regulation.
The cookie law was intended to get website to stop using tracking cookies. Instead the pain was offloaded to users and the tracking continues. In a way, the proposal in TFA would be the "cleaning up" that you ask for.
Let's clean that up first before creating a new set of rules.