The 5Y3GT is a drop in replacement for the Chinese 5Z4P. It draws the same heater current and the data sheet lists 20uf for the first cap. It is directly heated, so you will lose the slow start of the 5Z4P, but that's not a big deal. If you want to keep the slow start there is a 5Y3 variant, the 6087, which is indirectly heated like the 5Z4P. It's first cap value is listed as 10uf.
In
some cases that's true. The cap value shown in tube data sheets assumes that the tube is being operated at its maximum voltage and current specs. If it's being run easier it's permissible to use more capacitance.
How much more? Some data sheets include a series of 3 charts which can be used to determine this. You must measure your amp and use those measurements to make calculations. If the results are acceptable on
all three of the charts, your cap value is OK. Not surprisingly, the Chinese data sheets don't have charts, though. And, while a somewhat higher cap value might pass the 3 tests, I don't think the limit will be anywhere close to the stock value, which is way too high.
Here are the data sheets for the 5Y3GT and 6087, which include the charts:
https://tubedata.edebris.com/sheets/093/5/5Y3GT.pdf
https://tubedata.edebris.com/sheets/083/6/6087.pdf
I'd say there is an 99.99% chance that the seller's claims are total BS.
Unless they're making a version with a different rectifier tube that allows a larger first cap value, or they have reduced the value of the cap, then the value of the first cap is still an issue. It may
still be an issue
even if they are using a different rectifier tube. Sellers rarely know anything about the technical requirements of tube electronics. He's just trying to make a sale.
Most of the Chinese amps don't actually run the tubes all that hard,
in terms of operating points. So the problem caused by the higher voltage that's produced by the PTs is
mostly the heater voltages. I say "mostly" because Stephe has also pointed out that, in some cases, the reason they don't push the tubes that hard is because the transformers can't handle the increased current.
While heater voltage specs say +/- 10% is acceptable, once you get past 5% tube life drops much more rapidly. This issue can be solved without dropping the overall (B+) voltage by adding a couple of low value wirewound resistors to drop the heater voltage. Take the heater specs of all the tubes on the winding and use Ohm's Law to calculate the proper resistor values that are needed to drop the voltage to the correct level.