No. You can't edit default search engines. Changing the language in Opera to en-NZ doesn't make Opera change the search URL used. Neither does setting the root/location country codes in the Local State file to NZ or en-NZ.
@tidus Some extension perhaps? Opera wouldn't be sending images to Google on its own. And why in Synchronization - this forum is about synchronizing Opera on multiple computers/devices and not Google. What platform are you having this issue on? (Windows 10 PC, Android phone or tablet, etc.)
Google Docs will not work on Opera GX due to some extensions that are made enabled. Please try to disable the Page translator extension. I hope it will work when you disable the "Page translator" Opera extension.
@msjazzmaven strange things happen...
Found another occurrence of this problem, elsewhere on this forum and was instructed to download Opera beta, and try it.
Found it allowed me to sign in to google.
As all my stuff was on opera mobile it wasn't ideal.
Got email warning from opera saying new sign in from another part of the country (an error) when I signed in from Opera beta.
So signed into my opera account profile, from Opera mobile to check.
Saw that I could LINK my opera account to my google account.
And hey presto I can now finally use my google finance account whilst in Opera.... signed in to google. :-))