Yes, similar to that. My parents' kettle didn't even shoot the lead out of the kettle. I think the difference with theirs was that the handle was solid Bakelite right from the switch/socket/element connector on the back to the point where it attached near the spout, rather than having metal rods and only the handle in Bakelite. I'm wondering whether theirs even had a switch or whether you needed to switch it off at the wall socket - not sure about that.
Certainly it had a proprietary mains plug/socket like the K2 rather than IEC C13/C14 which I tend to refer to as "kettle connectors" because *modern* kettles have them (as well as most other devices like PC PSUs). As a matter of interest, what's the name for the "clover-leaf" 3-pin plug/socket that's used for some laptop-charger mains leads.