One is that occasionally there's an error popup "Extension process Network(4433) exited." just when clicking on the 'DNS servers' search result.
The other is that when accidentally hitting "Enter" after entering a new DNS server address the entire DNS Server subpanel will close even though I want to enter a second address (which sucks from a user perspective, but might even be consistent with the UX guidelines, but OTH I would expect pressing Enter on a text input box would not close the UI panel which contains the text input box, but maybe that's just me). But then clicking on the previous search result 'DNS servers' to open the DNS servers panel again, the click does nothing this time.
One has to clear the search box, enter the search term again, perform a new search, and then click the search result 'DNS servers' again to get the subpanel for entering DNS server addresses.
I guess the search is also broken like this for other subpanels, but changing the DNS servers is about the only situation where I'm using the search box.
In the old settings panel all that worked as expected (and apart from that, everything also was a lot snappier, somehow Apple engineers managed to create simple Settings window that suffers from performance problems, but again, different issue).
Don't even get me started on Screen Time bugs...