Indeed. Resilio Sync is a peer to peer synchronization tool, so data is not stored in the cloud. If you want a permanent cloud peer, Resilio Sync has the option of creating encrypted read-only secrets that you can use on a cloud peer. Such a peer will participate in the swarm, but will only see ciphertext data.

The application does not ask or require root access. And they support Linux and FreeBSD as well.

SyncThing should also be mentioned. However, if you want to share folders to other people as well, Resilio Sync seems to be the best option.