You can now change your lock screen with background and widgets based on your focus.
Set it up by going to Settings > [Your focus] > Customize screens and create a new Lock screen.
How to Change your Lock Screen based on focus
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How to customize how apps and your device behave when a specific focus is on
You can customize how apps and your device behave when a specific focus is on.
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9 iOS 16 Features: Lock Screen Customization and Focus Filters
How to customize iOS 16 lock screen widgets, use Focus filters, edit messages, and lift photo subjects