They can access any such information wherever it appears on your Mac, not just in log files. The data someone would be looking for would be in your user files, not your logs.
I said "most" because I haven't read every log file on every Mac. I've never seen a log file contain any personal data. I've suggested a few times that you spend some time reading through some log files on your computer, so you know the type of data they contain, but you seem more inclined to argue rather than learn for yourself.
It sounds like you're being deliberately argumentative and obtuse, rather than taking this opportunity to learn. As that appears to be the case, I don't care what you do with your Mac. Delete what you want, keep what you want. I don't care. I'm here to help those who want to be helped and share information with those who want to learn. As that doesn't appear to be your motive, you're on your own.