What some of the guys are alluding to is called lifter preload. If the pushrods are too short, then they do not depress the little cups at the top of the lifters. In effect then the hydros become solids, and if the lash is excessive, they clatter; like yours .
The lifters you took out may have been pumped right full of oil, and then they appear to be locked up solid. You can submerge them in a solvent overnight, and then maybe they will be easier to bleed down. You can chuck a pushrod in a drill press and use it to apply a steady pressure as the oil slowly moves out the port.After the oil is out, you should see the cups pop back up to the top when you remove the pressure. Or you can just take them apart.
But yeah, the rocker shafts must be installed a specific orientation. On the end of each tube is a notch; it is oriented to the left and down. That is to say; on the drivers side(left side of car), the notch on the left is near the rad, while on the passenger side(right side of car), the notch on the left is now up against the firewall. Notches down means closest to the head. Installed this way, the oil is able to enter the tubes from the rocker stands as the factory intended. This oil lubes the rocker arms, the pushrod upper tips and the cools the springs.
But that clatter is most likely lack of lifter pre-load or lack of oil-pressure into the lifters, or oil-pressure loss out of the lifters around their perimeters, due to oversize lifterbores. Since the rods don't appear to be knocking,that kindof eliminates oil-pressure loss into the lifters;kindof.
I have run hydros on a well-used solid 273 cam and not had this issue. I have also run used solids on a used teener cam,lucky me, with no issues. I wouldn't try that with todays oils tho.....
Lifter preload is checked with the lifter on the cam's base circle, so it's best to do this with the VC off so you can see what you are doing. With the amount of noise I am hearing,I would check them all.Unless the very first 4 you check are faulty, then you can pretty much figure that they are all bad.
On the off chance that the preload is good, then you will have to check for oversize lifterbores. It seems to me there is supposed to be a coded mark above the engine number at the front of the engine on the pad there,if it left the factory with o/s bores. It mighta bin a small diamond, or an A. Anyone?