To convert a tube rectifier to solid state without removing the socket and not buying a copper cap or similar, can't you simply wire a diode from pin 4 to 8 and another from pin 6 to 8.
Yes you can.
The resistors in the weber copper cap are supposed to simulate tube sag and it looks as if they have simply added a resistor between pin 4 and the diode going to pin 8.
This is the part that doesn't sound right.
The diagram I posted above is not a failsafe diagram. It's what you asked for. The sag resistor inside the copper cap does not go between pin 4 and pin 8. It should go between the junction of the diode cathodes and pin 8. There are many ways to physically do this. I showed you how I would do it.
Another way to do it would be to connect the anodes of the diodes to pins 4 and 6, standing them upright. Twist the cathodes together. Now connect one end of the sag resistor to the junction of the cathodes and connect the other end of the sag resistor to pin 8. It's the same thing electrically. And one more way to do this... Bust an old dead octal tube, clean up the mess, and mount the diodes and resistor in the tube base. IOW, roll your own copper cap. Now you can really swap between tubes and SS quickly and easily.
Finally, just to feed more confusion, here's a pic of a typical "FAILSAFE" diode circuit for your tube circuit. Notice that the diodes are in series with the tube plates...