They were/are not exclusive to FreeBSD.
And, OpenSSH isn't even 20 years old, so it's actually not been that long. SSH was 1995, that's probably the beginning of the ssh epoch and the beginning of the end of the rsh age.
I could well be missing nuance though. My experience with FreeBSD is using it for my server for ZFS' gloriousness.
https://en.wikipedia.org/wiki/Rlogin has more background information.
Quite a few years ago I helped build the public terminal cluster for HOPE. That year we used a token ring network for all of the hosts. Nobody anywhere near the conference had any token ring gear whatsoever. It was impossible to break into the network, so you had to use existing nodes. And the nodes' adapters had their promiscuous modes disabled in hardware. That plus a hardened terminal server and an extremely limited thin client meant nobody could successfully hack the network. You could have used telnet all day and been totally secure.
Though in conference environments, the network is not the biggest risk for targeted attacks. Carefully watching your target enter their password is simpler and more effective.
There is no such thing.
I'd be pedantic and rephrase this to - used for networks which you trust.
I would say trust is a result of the operation of the network, as you may need to do something to establish it. And in this vein you're right, "networks you already trust" definitely would have been better wording.