Everything was taxed, equally (with a few exceptions like food). No wasted time figuring out which tax to use, keeping up with tax changes, arguing why the brick & mortar store has a 5% rate while the online shop has 10%, etc.
Over the pond it's the same for everybody. Doesn't seem so in the US.
I think you misunderstand. The proposed changes are simply to remove the tax exemption. State sales tax will apply to internet purchases, just like they do for mail order. The confusion comes from the weird sales tax systems in place. I live in Colorado where the sales tax rates change according to a maze of Byzantine laws.
The main thing the EU did to simplify that is require one set of VAT rules per country. They can differ. For example, Denmark charges VAT on books, while the UK doesn't. And, like with the proposed US legislation, it's based on destination: if you order from amazon.co.uk to a Danish address, you pay VAT based on Danish rules.
But what can't happen is a situation where Herning, Ishøj, and Copenhagen charge different rates for different products. That simplifies the system considerably.
Over the pond it's the same for everybody. Doesn't seem so in the US.