Lavane, it's not the rectifier (tube or solid-state) — it's that big power transformer you plan on using. You have to design the power supply downstream of that PT to handle the inrush current that that thing has in reserve. I'm not sure the thermistor in the WZ-34 will handle sudden high-current demands using that PT.
Think of it kinda like using a car battery as a 12-volt power supply for an appliance that only needs 1 amp RMS to work. If, for some reason, the unit has a momentary short or malfunction and draws 10 amps, the car battery will supply 10 amps instantly, prolly beating most fuses — and most likely causing damage. A 2-amp RMS, 12VDC supply will not. A fast-blow 2-amp fuse would be the only thing to save that unit.
You are prolly better off with a 250VA PT. Well, that's my thoughts on this.