Just going to plot this down here, because it's close to the matter at hand and well ... because I can!
Can't stress enough how these LS'es get into their tenth or so year, it's gone through so many heat cycling that the entire plastic cooling system starts to deteriorate and breaks down from the inside out. There is no way around it, you can replace just one piece and be good for a little while but the rest will follow. Heat cycling and pressure throughout will lead to further parts cracking, splitting or what ever you want to call it, it takes a big ol' sh!t, it's too weak, it was not intended to last that long, they want you to open wallet every so many years. If they wanted it to last, the cost of the car would be something you couldn't afford because they'd have to price it so high cuz the public would not need to buy new cars or replacment parts as often. They'd have to make up the differance. Then there's the weight concerns and cost of build.
Anyhow, it's a proven fact these things, and I mean the entire cooling system including the degas bottle and it's PRESSURIZING cap need to be refresh as a whole in one job.
This is simply best bet, sure you may get away with replacing just an inlet pipe or thermostat but other crap is going to fail shortly thereafter or while your working on it.
It get's brittle, it will form small tiny stress crack in places you can't even see, it will let air in, it will over heat, it will give you a ride home on a cold night with no cabin heat.
Have a look at the pics from Blueberryyum, see how brittle and done his parts are from the inside out.
I've got a huge collection of pics of when I refreshed my 01 V8 Sport's cooling system although perhaps not as badly deteriorated.
10+ years and it's only a matter of time ... don't cry, just open wallet!
These are the old part after drying out its a wonder the didn't melt in my hand,
I could easily break parts of the plastic with minimum effort.
Wonder who said " hey let's use all plastic" when the design team started to design and build this car.