Ethereum Privacy - How private is it / Efforts to Make it Moreso

[wry]

Now that Stake has been taking Ethereum (ETH) for awhile I have started to seriously wonder about how private it is.  Unlike Bitcoin, which I love, I've never been that interested in ETH, probably because it isn't decentralized, has no limit ever on coins, and it wasn't as easy for me to comprehend as Bitcoin.

I had figured ETH was about as private as BTC, you had addresses and while people can see addresses and how much is in them they can't know whose addresses are whose.  The analogy I like to use is the Swiss Bank account.  I had assumed that ETH was the same, but the article on improvements to ETH privacy (linked below) seems to suggest addresses are more stable.  Is this true?  Is it because you need some ETH to power all your ETH tokens?

The article seemed to talk about things that mostly already happened with Bitcoin, such as mixers, though with some interesting twists, I really liked the idea of the 1 ETH notes you could exchange (though I am a ways from having 1 ETH!).

Anyway, I'm obviously ignorant, but a search for ETH privacy didn't turn up anything on the forums and so much of what I get for Google results looks like marketing and I'm so sick of hearing how awesome ETH thinks it is.

Link to article discussing privacy:  https://www.coindesk.com/why-ethereums-privacy-matters-and-whats-being-built-to-support-it

[Kate]

Nothing is private i feel so because I'd there is even a way to see transactions in a wallet i feel there is a way for people to know which wallets belongs to whom so no privacy is there in this crypto world i feel so. 

[williamshennie9]

I never even thought about the privacy of ETH. Bitcoin is also not really private, I mean you can track every single transaction to any single wallet. You might not know who owns that specific wallet though...