To be fair, your parents aren’t technically wrong but they aren’t really correct either.
While you can and should still trust people, at the end of the day everyone (including your parents) is in it for themselves and you will get stabbed in the back if someone can benefit from not. Not will benefit, but can benefit.
I get what they are saying, but it shouldn’t be a trust no one, just be defensive in life and try to forecast why people want/need you at that moment. It’s not always for reasons that are good or will benefit you.
Sounds like a good time to reinstall ventrilo