I had a ~2000 Cannondale F500 (and a couple others) with the head shock so I learned all about them. The rubber boot is suppose to keep water and crud out but it works far better at keeping the water in so it got very rusty and seized up (before I bought it) I found out the castle nut tool was $100 to take it apart. And there are no parts so why bother. I sprayed a lot of wd40 in and it finally broke loose and I sold the bike. Cannondale had some 30 different versions of head shocks and another 30 versions of the Lefty. They used many technologies inside that you can't see. Air, elastomer or metal springs, and a variety of dampening methods. And then they dropped the entire concept. Owners of vintage Cannondale can buy head tube reducers so standard forks and headsets can be installed on the older models with the oversize head tubes.
The head shock fork has a square inner steerer tube attached to the fork crown. The outer steering tube is round on the outside and square on the inside. there are 4 strips of needle bearings in between (front, back, left, right). they sold replacement bearings in a number of needle sizes, about .001' from one size to the next. If the flat surfaces wore, you could put in oversize bearings to take out the slop.
Don't ever let a Head Shock fork get wet. Don't store it in cold place where daily temp swings can cause condensation in the bike.
There have been other in line springer/shock forks (Moulton in the 1960s) and Trek in the past few years. Surely there were other obscure bike models that had them. No surprise about Moulton. The Brit engineer that designed the suspension for the Mini went on to design small wheel bikes with suspension that worked. Decades before Cannondale ever made bikes.
Buy all Classic Mini Spares & Parts online from Mini Sport with low cost worldwide delivery Top Quality & Great Value Classic Mini Spares & Parts you can trust
www.minisport.com
The white fork in the photos looks more like a newer Trek hybrid fork. hydraulic disc brake compatible.