Re: T5 output shaft play
It is normal.
There's really nothing keeping that from happening, except the extension housing bushing which supports the drive shaft yoke, which in turn supports the mainshaft. Take away those 2 supports, and there's nothing there to keep it from wobbling any more.
Numquam ponenda est pluralitas sine necessitate.
— William of Ockham, c. 1330 AD, from Quaestiones et decisiones in quattuor libros Sententiarum Petri Lombardi
Roughly paraphrased into modern English, and applied to figuring out what's wrong with your car:
The simplest explanation that fits all the facts is probably the right one.