Edge does not (e2e) encrypt your synced browsing history and your bookmarks. In the help pages Microsoft tries to weasel itself out of it by talking about TLS or encryption "at rest".

Chrome on the other hand can do end to end encryption by providing your own password.

Windows 10 has an advertising ID that is passed via Edge to Bing Ads. Chrome does the same thing with a low entropy ID passed to DoubleClick. In both cases this is used to track you. The difference is that Microsoft can potentially track your behavior in other apps as well.

Google is also very transparent about what they collect about you. You can also opt out of any collection or personalization. Do you know what Microsoft collects about you? They sure collect a ton of telemetry, with no way to opt out in some cases. The terms of Windows Insiders for example are ridiculous.

And Bing Ads is generating about $8 billion per year which isn't pocket change. If you think Microsoft isn't making a shitload of money from ads, you're wrong.

In other words they are very equivalent, but due to lacking end to end encryption for synchronized data, I can't touch Edge.

Note that I don't use Chrome either, only for testing like you. Firefox is better than both if concerned about privacy.

Is it naive to assume that the advertising ID, etc. are left out of plain Chromium?

Indeed, it is. That's why this exists: https://github.com/Eloston/ungoogled-chromium