The Chinese use of the 5Z3 number creates a lot of confusion.
The 5Z3, with no suffix, is an old American 4 pin rectifier that does not have an octal base. The Chinese 5Z3 versions that I've heard of - the 5Z3P and 5Z3PA - have four pins but they use an octal base. I've never heard of the version with the "T" at the end and I couldn't find a data sheet for it.
Electrically, the American 5Z3 is equivalent to the 5U4G. The 5U4GB is a heavy duty version. Here's a data sheet for the American 5Z3, 5U4G and 5X4G. Notice that the pinouts are all different. The 5U4G and the 5X4G both have octal bases but not the 5Z3.
https://tubedata.altanatubes.com.br/sheets/127/5/5Z3.pdf
The 5U4GB is a drop in replacement for the 5Z3PA and 5Z3P, which are both made by Shuguang. If your amp has an octal rectifier socket the 5U4GB will work fine. Another good sub would be the 5V3A. Same pinout and they all run at 3A of heater current. You could also use a 5AR4, which uses less heater current and offers a slow start.
The problem with the 5Z3 is that the data sheet lists a maximum first cap of only 4uf and the Chinese amps often use much higher values. This can lead to rectifier arcing and failures.
Check your amp to see what the value of the first cap after the rectifier is. The 5U4GB is rated at 40uf but using a 47uf, which is a common size, is OK since your amp probably uses less current that the 5U4GB can handle. If your amp has a larger first cap then replacing it with a high quality 47uf is a good idea.
The NOS American 5U4GBs are all very stout tubes so any brand should do fine. Strong testing used examples are fine too.