I wouldn't contradict Dirtynap's comments but in answer to the original question 'will I notice a difference' the answer is probably not. There will be a difference of course, it's just whether or not you will 'feel' it.
The DHX has come to be regarded as the better shock, but the Swinger was not a bad little damper. Plus if the choice is between one set up by TF and one that is not, then the TF tuned one will almost certainly perform better.
With the Ti spring question, as Dirty says it is purely a question of weight; there are no other performance upgrades other than this. It has been suggested that they have better fatigue resistance but I've never heard of anyone breaking a steel coil. I'm not sure what Dirty means by 'predictable' however.
A couple of points on the weight issue though: First is that not all Ti springs are made the same. I didn't realise this myself until recently, but for a given weight, (i.e. the weight needed to compress the spring, for exaple 500lbs/inch) and stroke length, there will be differences in 'mass' between different brands. The Nukeproof ones are not as light as say the Fox ones for example. Second, if your damper has a stroke length of say 2.75" and you end up with a (Nukeproof) spring that is a stroke of 3.0" (which is what they suggest you do if you can't get the exact stroke length you need) then you're carrying around extra material that you don't need and in some instances, your Ti spring could end up being heavier than a steel version, which is of the correct stroke length.
You can end up saving upwards of 200g between a steel and a ti spring, which is certainly worth it for either a DH racer or a trail rider IMO.