Lots of "tube rollers" have drawers full of tubes, typically expensive ones, that they bought after reading something online. They try them and don't get the results they read about so they go into the drawer. The thing to remember is that tubes don't sound like anything on their own. They are only one element in the system.
Unless someone is using them in the same equipment as you are, with the same speakers and sources, and in a room with similar acoustics, then you shouldn't take specific recommendations that are based on "how they sound" very seriously.
This is especially true when the advice comes from a dealer who has a vested interest in selling you the tube. Typically, the best "holy grail" tubes are always the ones that the "boutique" dealer just happens to have in stock.
People hear things differently too, so even if they're both listening to the same system in the same room together they might not agree.
OTOH, comments about technical differences between tube types can be helpful.
I don't know if specs for your power transformer are available. But the stock 5Z4P rectifier has a 2A heater, so that might be a clue as to what its 5v winding is comfortable with.
A 5AR4 will work fine but it's overkill because a preamp doesn't draw nearly as much current as a 5AR4 is capable of supplying. And even new production ones are not that cheap.
A 5Y3GT will be much cheaper and work just as well. If you want slow start the 6087 variant is also cheaper. Plenty of both on eBay. Even used ones are an option if they are American tubes that test strong and the test results are listed.
As for differences in sound, I would guess that different 6SN7s and coupling caps will have a far greater effect than different types of rectifiers. That's a far deeper rabbit hole.
You should also be aware that there are issues with many Chinese power transformers. Most of them seem to have primaries that are designed for 110v input from the wall. But wall voltage in the U.S. is typically between 120v and 125v. This pushes the secondary voltage and the heater voltages higher. So you should measure the heater voltages to make sure that it isn't too high as this can reduce the life of the tubes significantly, depending on just how high it is.