James,
The splitter and the riving knife, as far as I know, are just different names for the same thing. If someone knows I am wrong, please pipe up.
Its job is to prevent the kerf closing on the back of the spinning blade, thus preventing kick-back (or to be more precise, I would say chuck-back!) Either way it's 'mind your head' time! The Triton saw-guard also has a small feature that holds down thin pieces beside the blade preventing 'flutter'.
I used a Triton Mark 3 for about 18 years, and with an Elu circular saw I never had cause to grumble about it. Although, I didn't often use the saw-table mode. It makes a good overhead cross-cutting saw, but wide panels had to be 'plunge-cut' to start them, and the old style circular saws didn't plunge well. Also you had to turn the work piece over, and cut again to complete the cut on wide stuff.
The Triton overhead mode is super for cross-cutting to ensure four pieces are cut to the same length for legs and rails. You can cut four 4 x 2s for instance, in one go. This isn't advisable on a Sliding Compound Mitre Saw even though the Triton is now superceded by these saws.
I bought a Triton 2000 a few months ago, but I just could not get it to go together properly.
If I fixed the aluminium slide-rails first, the bottom rails wouldn't go into the end panels. If I fixed the bottom rails in first, the slide-rails wouldn't assemble, and the whole frame assembly was twisted. I have manged to get it together now, by putting the bottom rails on the outside. Looks a mess, but it's square, and it works. It's a fiddle getting the saw set-up parallel with the fence, as Triton don't use the mitre-guide channel for this.
I also got the Triton circular saw to go with it. This saw has a very positive, geared mechanism which makes plunge-cutting easy.
But I will be honest and say IMO there are just two ways to handle 8 x 4 sheets satisfactorily.
A: A purpose built dimension saw with a full-size sliding table, for which you need a huge shop and a huge wallet.
or
B: A track-saw, with a good support table underneath it.
I am in the process of getting track-saw. The Triton I shall write off, as it's not even sale worthy. I suppose I should ask for my money back, but it came from Europe, so I don't think the hassle would be worth it. If it comes in for the occasional job I might keep it assembled, with a worktop over it! The Triton saw, which is very noisy, I shall use as a circular saw for rough reducing long planks.
Summing up: In the 'YouTube' videos, the Triton is used in a 'socking great' workshop, and it does look good. Also remember, anything wrong with the saw they used, and they'd get another from stock. So the operators make things look easy, and the saw looks to be great. My old Mark 3 was fine to be honest, but if I was going to stay with a Triton, I would reassemble the Mark 3, and clean it up. (Maybe I'd use the new saw and saw-carrier, frame, as it is better than the old one) But that's all I would change.
My advice? Go for a track saw. It's cheaper in the long run, even if you buy Festool. The reason I am going for the Festool, is the parallel guide set that's available, and made to marry to the track-saw, making it more like an overhead, panel saw.
HTH