the weber copper caps are meant to emulate the recto valves they replace.
I'm thinking of getting a GZ34 replacement to use as a "spare" GZ34 since the amp I built uses a GZ34 and has no other rectifier.
They also do a straight diode replacement. The GZ34 emulator is meant to replicate the sag etc... I'm not sure how true it is.
If that is the case, you'd have switchable diode rectifiers with one setup emulating valve sag. in theory.
My amp that I built uses a GZ34. It doesn't feel saggy at all.
As HTH said you don't get much sag with a GZ34. In fact unless you are using a transformer that is massively over speced you will probably get at least as much sag from the mains transformer as a GZ34.
Regarding the copper caps, having taken one apart (!!) they simply have solid state diodes in them with cement box power resistors to increase the impedance of the supply so that the B+ drops under load a la valve rectifier. The also have a varistor in them to limit in rush current.
Personally I avoid using valve rectifiers as they are more expensive than solid state rectifiers, less reliable (and it would seem to me that modern valve rectifiers aren't as robust as old ones), and the sonic sag effect can cheaply be replicated using a power resistor in the HT.