(I *think* this is right, or at least right enough to get a newb on track)

If you want to make a comparison to traditional fiat banking Cashu is a lot like sending unsigned money orders, or traveler's cheques to someone.

What you send sats via Cashu you are asking a Cashu Mint (think small town bank) to create a Cashu Token (think money order) Now you can give that Token to anyone (You can even print the QR code out on a piece of paper and mail it to someone if you'd like) and the person that gets it cashes it in with their Cashu client.

They now have sats.

Privacy wise, you didn't give them your sats. You gave them the Mints sats. So there's no connection between the two of you.