The support is a piece of steel tube with flattened ends drilled to take the M8 mounting bolts which fix to the underbody.
The other end of the tailpiece is mounted on two rubber bushes which are attached to the gearbox. These allow the tailpiece quite a lot of flexibility. After a few years (and contamination with leaking oil), these bushes get softer still.
One mod to make the whole lot more rigid (and improve gearchange quality) is to replace these mountings with solid material (steel or nylon normally)
As long as your main gearbox/engine mounting on the bellhousing is sound, the front mounting on the crossmember is in one piece and the head steady has decent bushes - don't worry about it! They are all like that sir!