Well it's good to know that it has the hardware. These types of systems fascinate me. I'm certainly glad the U.S. versions didn't have that system. From my experience with Toyota, it's hard to find someone that is good with parts and really knows their stuff. There are some great ones for sure that really know their stuff, but not all do. Hopefully you'll find someone that knows the older stuff or is at least willing to dig into it a bit.
I don't think rolling codes were at all uncommon in the 90's for key-less entry. Without it, any simple radio system could record and replay the unlock message and get into a car easily.
What I show for your model, from the Toyota parts diagram for keys is:
89785 TRANSMITTER, TRANSPONDER KEY MASTER
89785-60020 CUT KEY 160.76
89785-60030 BLANK KEY 53.63
TRANSMITTER, TRANSPONDER KEY SUB
89785-60020 CUT KEY 160.76
89785-60030 BLANK KEY 53.63
They call them 'Transmitter, transponder key'. I believe the MASTER denotes a physical master, not an electronic master. The transponder master is simply whichever key is programmed as 'MASTER' within the ECU and I believe, (but I'm not sure) that the master key was programmed to the ECU at the factory and cannot be re-done on the older systems. I could be wrong though. Information on the pre '98 anti theft system is VERY difficult to find. The master key is a physical concept in that it would work in all locks where the sub key would not work in the glove box, but it would in all other locks. It's confusing because the use the same terms as far as the 'master' key is concerned with the transponders as well.
Keep in mind that these part numbers are from an OLD parts book and may be superseded, possibly multiple times. However, those were valid part numbers at one time, and the descriptions should be accurate. The prices listed were list price in Euros at the time the parts book was created, and I don't know the date of that.
You should be able to find the immobilizer ECU by following the wire from the transponder amplifier you found under the dash. I don't know if the wire length is to scale or not. I'd also recommend ordering up a new key from Toyota or online so you have an extra. Your local dealer should at least be able to do that, they should be able to cut it based on your VIN and proof of ownership. If you have the specialist out and your key has a dead transponder you may be out of luck without a new key blank to work with, unless of course he stocks them, and knowing that your vehicle has a transponder based system, having a second key would be a great idea.
Here is a picture of the key from my '97 land cruiser. I had it cut based on VIN at my local dealer because the original one had worn out. It cost $10 and does not have a transponder in it. The original part number for it was 90999-00163