Time zones – How to offer date filter for data linked to different time zones?

Scenario

We have a table with information of many devices located across different time zones. The user is able to filter the data with a date filter. The data is linked to the local device time. The filter allows the user to preselect different periods, e.g. Today (Sept 14), Last 7 days (Sept 7-13) etc. Additionally it offers a calendar in which the user can pick different date ranges. It might be confusing that today from the user's perspective can be yesterday or tomorrow from the device's perspective. And for example if the user selects yesterday, not all devices might have ended that day and the data is incomplete. The user can sometimes even see data of "tomorrow".

Question 1

What is the best way to make clear that the option that users select (e.g. today, yesterday) is not the same from the device's perspective? For more clarity I added the date to the option, but I'm not sure if that's enough. I could also leave the "descriptive text" (today, tomorrow) out and only show the date.

Select period across multiple time zones

Question 2

What is the best way to make clear that the data is not complete yet although the period is closed from the user's perspective? This is the current solution.

Select period with incomplete data

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