Everytime this is reposted in a new template I remind everyone that no one is using incognito mode to hide from their ISP they are using it to hide from their spouse or partner.
I always thought private browsing was just so all the porn content doesn't stay in search history's and the address bar doesn't auto fill fatasshonkeybabes.com if my grandmother sits down to look at her Facebooks.
As someone who hosts my own dns server I can confirm that I can see everything that is accessed but the not the whole url, I can see the base url like if you access YouTube, I’ll see that you pinged YouTube.com, what you received exactly I don’t know but I can tell that you went on YouTube.
Only in Chrome? In every browser using private mode, private mode only delete the local storage (wbSQL, Serviceworkers, cookies, cache, etc), no other things, it hide nothing, for webpages which log you (or the search engine you use, AI and some other extensions which you use in "private"mode) it's irrelevant if you use private or normal mode. It's a very frecuent missconcept to believe that the private mode is the same as anonym browsing, simple extensions, like Cookie Autodelete or SiteBleacher do exactly the same as browsing in private mode, but with the feature that you can partial or full whitelist the pages where private mode isn't needed.
More or less Private only if you use VPN, SPN, MPR, Snowflake or at least a proxie.