All I tried in 5y3gt's was standard grade RCAs and GEs which were ok, a milspec 5y3 something or other, which was smoother, and 6106, which was my favorite , and some others' on this board too. Never tried the sovtek. Be aware that changing rectifier types will channge your B+ voltage, maybe moving it out of spec.
Twisted pairs or shielded wire from the connectors is a good idea to reduce noise pickup. Try to keep it short, it adds capacitance. One of the better upgrades I did was to use low capacitance cable from the table to the cornet.
I used insulating pads on my current sinks, I remember the sinks being grounded, but that's using an original cornet board, not version 2.
Enjoy your new phono!