So the manufacturer does not tell you to adjust tyre pressures based on load, but you are advocating making adjustments to some random pressure as you see fit. I'm afraid that does not make sense....
You read a manual and stop thinking, just blindly follow what really is for liability reasons, because if they said adjust pressure and there's an accident, they would have problems, that's all it is.
With fixed pressures no problems for them, but your tire wear and grip will not be optimal really.
Not random, a few pounds difference mostly depending on weight and temperature, it's not so complicated just use logic.
The manual says which oil or cooling liquid is used also, so with your thinking it's not allowed to use any other brand than what Triumph say, just think a bit, it's guidelines.
You mean to tell me with all the older long time riders here, you have never seen the pressure/load stickers on motorcycles swingarms, I must say this is surprising all my Japanese bikes had one, Triumph doesn't curve the laws of physics, look in this link they talk about it if you believe I'm not making sense !
My Triumph didn't have the sticker, as it was the demonstrator, but the mechanic never puts the max 36/42, they all say adjust accordingly.
https://ultimatemotorcycling.com/2020/04/28/under-pressure-air-pressure-for-motorcycles-that-is/