Correct.
If you disconnect the SRS controller, the gauge unit won't receive the required status signal to switch the SRS light Off so it will stay On permanently.
If you blew the SRS fuse
#1 inside the cabin or disconnect any of the sensors or the inflator modules (the one at the steering wheel, passenger SRS, the seat belt pre-tentioner depending on the year model/spec) without creating mockup circuit, it will also trigger the SRS light.
Photo is probably easier.
The SRS controller sitting under the centre console.
Please ignore the parts/model no. as it's different depending on the RHD/LHD, year model, etc.
Inside the SRS controller, there is a silver square block and that is the roller spring sensor for the impact detection.
You will hear the roller moving if you gently shake the unit.
Please note that unlike the modern SRS controller, there is no memory device to store the error/history code.
The inflator module on the steering wheel and the cable reel (clockfuse) at the bottom (1st photo).
Please keep the red short terminal connected whenever disconnecting the inflator module for your safety.
If you are blowing the SRS fuse
#1 inside the cabin and if you don't have any other short circuit, from what you wrote so far, very likely that you have leaky capacitor issue inside the SRS controller.
You can check it by opening it.
It's a safety device so you should replace it with a new one (though, probably LHD one is discontinued) and not repair or use the 2nd hand one.
If you find the leaky cap issue inside, you may want contacting [MENTION=7588]Briank[/MENTION] on here.
He may be able to help you under strict agreement.
There was someone on here who found out that although the outer case design was different, the internal circuit board was exactly the same on the ancient Legend model.
Personally, I won't use 2nd hand safety module with unknown history and whether it's the same spec as yours depends on the year model but another option.
Extra info here;
http://www.nsxcb.co.uk/blog.php?1811&blogcategoryid=48
Kaz