History suggests that we should not believe them:

British officials stressed that they weren’t asking for blanket access to users’ personal data, and that they would only ever request data relating to the investigations of the most serious crimes, in particular terrorism and child sexual abuse. Separate warrants would have to be approved for each individual request

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…the people familiar with the matter said. They would be focused on criminals in the UK, not US residents, they added.

At: https://www.bloomberg.com/news/articles/2025-03-13/uk-us-hold-private-talks-in-bid-to-calm-apple-encryption-feud

Archived at: https://archive.ph/2025.03.13-221037/https://www.bloomberg.com/news/articles/2025-03-13/uk-us-hold-private-talks-in-bid-to-calm-apple-encryption-feud

Via:

Exclusive: UK and US officials have held private talks in a bid to calm the Apple encryption feud

High-level discussions took place after US intelligence chief Tulsi Gabbard warned the UK was threatening to violate Americans’ privacy

Apple has a secret High Court hearing today…

— Alex Wickham (@alexwickham) March 14, 2025