1995 that is the last year that was OBD1, your vehicle is the last year that they still run on the dynos anything new 1996 to present is OBD2 and the cars computer actually does the testing. Toyota’s cats are very resilient and very expensive, some cars manufacturer in preparation of OBD2 started putting post cat O2 sensors on there vehicles a year or 2 in advance. Who said you need a cat, a dyno run or the OBD2 post cat sensor (pulling codes from PCM), if it was a dyno run I would definitely make sure your plugs wires cap and rotor are new and in very good condition, if they are new or within a few years old, where did you get them and what is the brand. I would strongly suggest OEM plugs, wires cap and rotor in this situation along with a fresh PCV valve, along with making sure that your purge control valve solenoid is in perfect working order. OEM cats (from Toyota) are very expensive I’ve seen them as high as 1600 dollars. Bolt in cats, or weld in cats are very cheap and low in platinum and in my experience only good for a few years. Unlike an OEM cat especially from Toyota. OEM cats are expensive and very durable for this reason and unless its rattling and you know the above mentioned is high quality OEM parts (especially plugs and wires) I would avoid replacing the OEM catalytic converter at all cost. Yes they are very easy but, a Toyota cat is pretty expensive for one that comes from Toyota, most aftermarket cats are junk. Also I have had very good luck with catalytic converter cleaners. Here is one Catalytic converter cleaner.
If you did have a dyno run while trying to get your state inspection can you please post your 5 gas analyzer results.
Hydrocarbons (HC)
Carbon Monoxide (CO)
Oxides of Nitrogen (NOx)
Carbon Dioxide (CO2)
Oxygen (O2)
There should be 5 gases(obvious) their part per million or PPM and the acceptable range. If a shop ran it and you have a cat that is bad the hydrocarbons will read high. If it is really close to the acceptable range I would def suggest the cat cleaner. If it is your 2nd O2 sensor (if our car has one) and the PCM is throwing a P0420 catalytic inefficiency code and all the above are suggested parts are in great shape, I follow the path of testing the O2 sensor first. Sorry to go on such a rant just trying to save a maker space pal making an expensive mistake. OEM cats bring shops quite a bit of money from reselling the cats to metal recyclers. Some cats can fetch a hefty price from 2-300 dollars. Toyota, Acura, and Honda are usually the ones that do. Link to help you interpret your 5 gas analyzer results.
Hope this helps!