Yes the two worlds are and always will be kept separate. I could have worded that better before.

I have a desktop (not laptop) for my own stuff and a laptop for company stuff and a dock and KVM setup for it.

I am not using the company laptop for personal stuff.

Doesn't that really depend on how you use it? They might have a separate user account or even a whole separate OS installed like I do, encrypted, and use only online services.