How come watchdogs like the CMA or ICO stayed competent despite the incompetent Tories?

I imagine some of these agencies didn't exist before 2010, meaning they got staffed under the Tories. I know viewing the Tories as purely bad is a very simplistic way of looking at things, but when Boris was partying in Downing street and clearly resigning on his duties to protect the public, how come this level of resignation didn't seep into these govt. agencies? From the articles below it seems that even after 14 years fhey still have teeth. Are they independent enough to escape influence from the Cabinet?

https://www.theguardian.com/commentisfree/2024/apr/20/the-big-tech-firms-want-an-ai-monopoly-but-the-uk-watchdog-can-bring-them-to-heel https://www.wiltsglosstandard.co.uk/news/national/24470785.data-watchdog-reprimands-school-facial-recognition-canteen-payments/