Bulk editing date fields does not display the correct locale?

[tobystokes]

Describe the bug
In a multisite setup.
If doing a bulk edit of a datetime field on the non-primary site*, the date is being saved in a different format from that the UI showed it in.

i.e. I use the datepicker to choose April 10. The date shows as 10/05/2022 as I would expect from my user local settings (en-GB)
After saving, if I examine the entry, the field now reads 05/10/2022 = 5 Oct

Environmental Info

• Craft CMS Version:
• Multi-site Mode Yes
• Plugin Version: 3.7.39
• PHP Version: 8
• Database Driver MariaDB:

Additional context
*I'm guessing it's related to the locale of the site, not the user. I think the formatting of the field should reflect the locale of the user, but it's not being picked up in the bulk-edit modal?