lock screen - widget - clock - time zone

You can customize the clock widget or remove it all together.

• Touch and hold the Lock Screen until the Customize button appears, then tap Customize

Once you are in the customize screen, you can remove, add or edit the widgets on that lock screen.

This should help:

Personalize your iPhone Lock Screen - Apple Support

Though I am not very clear about you query this may help you.

On your iPhone, iPad or iPod touch

Go to Settings > General > Date & Time. Turn off Set Automatically. Now you can change the time zone or the date and time: Tap Time Zone and enter a city with the time zone that you need.

If you can't change the time or time zone on your Apple device

Actually, you can change it from Cupertino. From the customize screen, tap once on the widget to open the Add Widgets panel and then again on the widget (the one already added) to select a city.

Yes, the time in Cupertino/Pacific doesn't apply to me/my work. I don't use that time zone in any of my clocks, but I cannot figure out why the lock screen widget always displays it, no matter what I adjust/fidget with. Someone, please, help!

Thank you! It was counter-intuitive, especially since I have an Apple Watch, and all the complications are tied to apps (e.g. other time zones pull from the Clock app). I assumed the widgets would be too. But ok. At least it makes sense once you know how to do it.

There seems to be a mismatch between the Title and the body of the post.

Yes there’s no way to change it from Cupertino. Useless.