They show up FS from time to time. Here's a few that sold on BAT this year.
https://bringatrailer.com/jensen/jensen-healey/Including that rare Jensen GT. I was tempted to bid on that as my next project, but wised up in time to save myself
Interesting fact I read is that Donald Healy resigned from the JH board because new American owner, Kjell Qvale, decided to position this model upmarket as a sort of a "junior" Jensen Interceptor, and dropped the Healy name. Thus, Jensen GT.
As to this FB ad, there's another JH in the photo so I doubt the seller was confused, more likely hoping the Lotus title would get more (clueless?) eyeballs than JH.
Ron