I have never been pulled over in my debadged R34 GT... Not the same as having an exception I know, but you can't tell it isn't a GTT unless you know what you are looking for, which most people don't.
Most police won't look to pull you over other than for RBT or if you are doing something wrong. If you think about how often you actually get pulled over, it really isn't worth thinking about it.
Think about how often you see a cop on the road... One day in three, one trip in four? Out of every 10 of those cops, only 1 would be in a position to have the oportunity to pull you over. Police won't chuck a dangerous U-turn or anything like that to come after you (unless you are doing something wrong).
So doing the maths, you could at most get pulled over on 2% of your drives (presuming you see a police car one trip in every 5). Then out of that 2% of your drives, the cop that you see has to actually decide to pull you over and justify it, which means pulling off a main road, recording their actions, reporting to base (on occasion) and so on... Most cops won't do that unless you are doing something you shouldn't. So if you are unlucky enough that 1/10 of those cops that can pull you over do, that leaves you with a 0.2% chance of getting pulled over to be checked.
2 drives out of a 1000... I don't think that is much heartache.