Linux distros log a TON about what you’re doing by default.
Tonnes of software uses systemd-journald to log errors, the bash shell saves everything you type into the terminal, and wtmp, btmp, utmp all track exactly who is logged in and when, and the kernel uses dmesg to log a bunch of stuff.
While the system isn’t sending these logs to Microsoft or Google, anyone who gets into your system like police or hackers can see almost everything that you have been doing.
If you want to be private, you must disable them.
If you want true privacy, don’t use technology, stay hidden, don’t hear/speak/see anything. Of course, then you’ll inevitably be a statistic of people trying to achieve true privacy, which often ironically puts you on lists of people who might be suspects of allegations… Just hope they don’t ever figure out a 100% accurate way to telepathically read your mind :)